https://wiki.komikyv.org/index.php?action=history&feed=atom&title=%D0%9D%D1%91%D0%BB%D1%8C%D3%A7%D0%B4_%D1%82%D1%88%D1%83%D0%BF%D3%A7%D0%B4%D0%B0_%D3%A7%D1%82%D0%BA%D0%BE%D0%B4%D1%8C%D0%BB%D1%83%D0%BD%D0%BB%D3%A7%D0%BD_%D0%B2%D1%83%D0%B6%D0%BB%D1%8B_%D1%84%D0%BE%D1%80%D0%BC%D1%83%D0%BB%D0%B0 2026-05-12T22:12:29Z История изменений этой страницы в вики MediaWiki 1.30.0 https://wiki.komikyv.org/index.php?title=%D0%9D%D1%91%D0%BB%D1%8C%D3%A7%D0%B4_%D1%82%D1%88%D1%83%D0%BF%D3%A7%D0%B4%D0%B0_%D3%A7%D1%82%D0%BA%D0%BE%D0%B4%D1%8C%D0%BB%D1%83%D0%BD%D0%BB%D3%A7%D0%BD_%D0%B2%D1%83%D0%B6%D0%BB%D1%8B_%D1%84%D0%BE%D1%80%D0%BC%D1%83%D0%BB%D0%B0&diff=80766&oldid=prev 2022-04-09T21:40:35Z

<p>‎<span dir="auto"><span class="autocomment">История</span></span></p> <table class="diff diff-contentalign-left" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr style="vertical-align: top;" lang="kv"> <td colspan="2" style="background-color: white; color:black; text-align: center;">← Предыдущая</td> <td colspan="2" style="background-color: white; color:black; text-align: center;">Версия 21:40, 9 кос му 2022</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l20" >Строка 20:</td> <td colspan="2" class="diff-lineno">Строка 20:</td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>1540-ӧд воын Лодовико Феррари гӧгӧрвоӧма, кыдзи корсьны нёльӧд тшупӧда ӧткодьлунлысь вужсӧ коймӧд тшупӧда ӧткодьлун отсӧгӧн. Вит во мысти Кардано йӧзӧдас сылысь методсӧ Ars Magna небӧгас: сэки тӧдса нин лоас, кыдзи коймӧд тшупӧда ӧткодьлунлысь вуж корсьны. (Серпас вылас англичан кыв вылӧ вуджӧдӧм небӧгыс; сэні ставыс гижӧма ӧнія терминъясӧн да формулаясӧн.)</div></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>1540-ӧд воын Лодовико Феррари гӧгӧрвоӧма, кыдзи корсьны нёльӧд тшупӧда ӧткодьлунлысь вужсӧ коймӧд тшупӧда ӧткодьлун отсӧгӧн. Вит во мысти Кардано йӧзӧдас сылысь методсӧ Ars Magna небӧгас: сэки тӧдса нин лоас, кыдзи коймӧд тшупӧда ӧткодьлунлысь вуж корсьны. (Серпас вылас англичан кыв вылӧ вуджӧдӧм небӧгыс; сэні ставыс гижӧма ӧнія терминъясӧн да формулаясӧн.)</div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">[[Файл:Arsmagnaorruleso0000card.jpg|thumb|center|140px|]]</ins></div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>==Формула артмӧдӧм==</div></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>==Формула артмӧдӧм==</div></td></tr> </table>

Наста https://wiki.komikyv.org/index.php?title=%D0%9D%D1%91%D0%BB%D1%8C%D3%A7%D0%B4_%D1%82%D1%88%D1%83%D0%BF%D3%A7%D0%B4%D0%B0_%D3%A7%D1%82%D0%BA%D0%BE%D0%B4%D1%8C%D0%BB%D1%83%D0%BD%D0%BB%D3%A7%D0%BD_%D0%B2%D1%83%D0%B6%D0%BB%D1%8B_%D1%84%D0%BE%D1%80%D0%BC%D1%83%D0%BB%D0%B0&diff=80764&oldid=prev 2022-04-09T21:39:36Z

<p>‎<span dir="auto"><span class="autocomment">История</span></span></p> <table class="diff diff-contentalign-left" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr style="vertical-align: top;" lang="kv"> <td colspan="2" style="background-color: white; color:black; text-align: center;">← Предыдущая</td> <td colspan="2" style="background-color: white; color:black; text-align: center;">Версия 21:39, 9 кос му 2022</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l16" >Строка 16:</td> <td colspan="2" class="diff-lineno">Строка 16:</td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>Татшӧм ӧткодьлунъяссӧ медводз видлалӧмаӧсь важ индияса математикъяс. Шуам, Бхаскара XII‐ӧд нэмын петкӧдлӧма, кыдзи корсьны ''x''⁴ − 2''x''² − 400''x'' = 9999 ӧткодьлунлысь вужсӧ.</div></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>Татшӧм ӧткодьлунъяссӧ медводз видлалӧмаӧсь важ индияса математикъяс. Шуам, Бхаскара XII‐ӧд нэмын петкӧдлӧма, кыдзи корсьны ''x''⁴ − 2''x''² − 400''x'' = 9999 ӧткодьлунлысь вужсӧ.</div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">[[Файл:Bhaskara.jpg|thumb|center|140px|]]</ins></div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>1540-ӧд воын Лодовико Феррари гӧгӧрвоӧма, кыдзи корсьны нёльӧд тшупӧда ӧткодьлунлысь вужсӧ коймӧд тшупӧда ӧткодьлун отсӧгӧн. Вит во мысти Кардано йӧзӧдас сылысь методсӧ Ars Magna небӧгас: сэки тӧдса нин лоас, кыдзи коймӧд тшупӧда ӧткодьлунлысь вуж корсьны. (Серпас вылас англичан кыв вылӧ вуджӧдӧм небӧгыс; сэні ставыс гижӧма ӧнія терминъясӧн да формулаясӧн.)</div></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>1540-ӧд воын Лодовико Феррари гӧгӧрвоӧма, кыдзи корсьны нёльӧд тшупӧда ӧткодьлунлысь вужсӧ коймӧд тшупӧда ӧткодьлун отсӧгӧн. Вит во мысти Кардано йӧзӧдас сылысь методсӧ Ars Magna небӧгас: сэки тӧдса нин лоас, кыдзи коймӧд тшупӧда ӧткодьлунлысь вуж корсьны. (Серпас вылас англичан кыв вылӧ вуджӧдӧм небӧгыс; сэні ставыс гижӧма ӧнія терминъясӧн да формулаясӧн.)</div></td></tr> </table>

Наста https://wiki.komikyv.org/index.php?title=%D0%9D%D1%91%D0%BB%D1%8C%D3%A7%D0%B4_%D1%82%D1%88%D1%83%D0%BF%D3%A7%D0%B4%D0%B0_%D3%A7%D1%82%D0%BA%D0%BE%D0%B4%D1%8C%D0%BB%D1%83%D0%BD%D0%BB%D3%A7%D0%BD_%D0%B2%D1%83%D0%B6%D0%BB%D1%8B_%D1%84%D0%BE%D1%80%D0%BC%D1%83%D0%BB%D0%B0&diff=80762&oldid=prev 2022-04-09T21:37:50Z

<p>‎<span dir="auto"><span class="autocomment">Формула артмӧдӧм</span></span></p> <table class="diff diff-contentalign-left" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr style="vertical-align: top;" lang="kv"> <td colspan="2" style="background-color: white; color:black; text-align: center;">← Предыдущая</td> <td colspan="2" style="background-color: white; color:black; text-align: center;">Версия 21:37, 9 кос му 2022</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l21" >Строка 21:</td> <td colspan="2" class="diff-lineno">Строка 21:</td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>==Формула артмӧдӧм==</div></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>==Формула артмӧдӧм==</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">x⁴ </del>+ <del class="diffchange diffchange-inline">kx³ </del>+ <del class="diffchange diffchange-inline">lx² </del>+ mx + n = 0 ӧткодьлунлысь вужсӧ позьӧ со кыдзи артмӧдны (тайӧ абу Феррарилӧн ногыс). Гижам кӧ x = t + k/4, лоас</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">''x''⁴ </ins>+ <ins class="diffchange diffchange-inline">''kx''³ </ins>+ <ins class="diffchange diffchange-inline">''lx''² </ins>+ <ins class="diffchange diffchange-inline">''</ins>mx<ins class="diffchange diffchange-inline">'' </ins>+ <ins class="diffchange diffchange-inline">''</ins>n<ins class="diffchange diffchange-inline">'' </ins>= 0 ӧткодьлунлысь вужсӧ позьӧ со кыдзи артмӧдны (тайӧ абу Феррарилӧн ногыс). Гижам кӧ <ins class="diffchange diffchange-inline">''</ins>x<ins class="diffchange diffchange-inline">'' </ins>= <ins class="diffchange diffchange-inline">''</ins>t<ins class="diffchange diffchange-inline">'' </ins>+ <ins class="diffchange diffchange-inline">''</ins>k<ins class="diffchange diffchange-inline">''</ins>/4, лоас</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">t⁴ </del>+ <del class="diffchange diffchange-inline">pt² </del>+ qt + r = 0</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">''t''⁴ </ins>+ <ins class="diffchange diffchange-inline">''pt''² </ins>+ <ins class="diffchange diffchange-inline">''</ins>qt<ins class="diffchange diffchange-inline">'' </ins>+ <ins class="diffchange diffchange-inline">''</ins>r<ins class="diffchange diffchange-inline">'' </ins>= 0</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>ӧткодьлун; p, q, r лыдъяссӧ позьӧ гижны k, l, m да n пыр — содтӧмӧн, чинтӧмӧн, лыдмӧдӧмӧн да юклӧмӧн. Кутам корсьны сэтшӧм a, b, c да d лыдъяс, медым &#160;</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>ӧткодьлун; <ins class="diffchange diffchange-inline">''</ins>p<ins class="diffchange diffchange-inline">''</ins>, <ins class="diffchange diffchange-inline">''</ins>q<ins class="diffchange diffchange-inline">''</ins>, <ins class="diffchange diffchange-inline">''</ins>r<ins class="diffchange diffchange-inline">'' </ins>лыдъяссӧ позьӧ гижны <ins class="diffchange diffchange-inline">''</ins>k<ins class="diffchange diffchange-inline">''</ins>, <ins class="diffchange diffchange-inline">''</ins>l<ins class="diffchange diffchange-inline">''</ins>, <ins class="diffchange diffchange-inline">''</ins>m<ins class="diffchange diffchange-inline">'' </ins>да <ins class="diffchange diffchange-inline">''</ins>n<ins class="diffchange diffchange-inline">'' </ins>пыр — содтӧмӧн, чинтӧмӧн, лыдмӧдӧмӧн да юклӧмӧн. Кутам корсьны сэтшӧм <ins class="diffchange diffchange-inline">''</ins>a<ins class="diffchange diffchange-inline">''</ins>, <ins class="diffchange diffchange-inline">''</ins>b<ins class="diffchange diffchange-inline">''</ins>, <ins class="diffchange diffchange-inline">''</ins>c<ins class="diffchange diffchange-inline">'' </ins>да <ins class="diffchange diffchange-inline">''</ins>d<ins class="diffchange diffchange-inline">'' </ins>лыдъяс, медым &#160;</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">t⁴ </del>+ <del class="diffchange diffchange-inline">pt² </del>+ qt + r = (<del class="diffchange diffchange-inline">t² </del>+ at + b)(<del class="diffchange diffchange-inline">t² </del>+ ct + d).</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">''t''⁴ </ins>+ <ins class="diffchange diffchange-inline">''pt''² </ins>+ <ins class="diffchange diffchange-inline">''</ins>qt<ins class="diffchange diffchange-inline">'' </ins>+ <ins class="diffchange diffchange-inline">''</ins>r<ins class="diffchange diffchange-inline">'' </ins>= (<ins class="diffchange diffchange-inline">''t''² </ins>+ <ins class="diffchange diffchange-inline">''</ins>at<ins class="diffchange diffchange-inline">'' </ins>+ <ins class="diffchange diffchange-inline">''</ins>b<ins class="diffchange diffchange-inline">''</ins>)(<ins class="diffchange diffchange-inline">''t''² </ins>+ <ins class="diffchange diffchange-inline">''</ins>ct<ins class="diffchange diffchange-inline">'' </ins>+ <ins class="diffchange diffchange-inline">''</ins>d<ins class="diffchange diffchange-inline">''</ins>).</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Сэки <del class="diffchange diffchange-inline">t² </del>+ at + b = 0 да <del class="diffchange diffchange-inline">t² </del>+ ct + d = 0 ӧткодьлунъяслӧн вужъясыс лоасны <del class="diffchange diffchange-inline">t⁴ </del>+ <del class="diffchange diffchange-inline">pt² </del>+ qt + r = 0 ӧткодьлунлӧн вужъяснас; квадрата ӧткодьлунъяслӧн вужъяслы формула эм нин.</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>Сэки <ins class="diffchange diffchange-inline">''t''² </ins>+ <ins class="diffchange diffchange-inline">''</ins>at<ins class="diffchange diffchange-inline">'' </ins>+ <ins class="diffchange diffchange-inline">''</ins>b<ins class="diffchange diffchange-inline">'' </ins>= 0 да <ins class="diffchange diffchange-inline">''t''² </ins>+ <ins class="diffchange diffchange-inline">''</ins>ct<ins class="diffchange diffchange-inline">'' </ins>+ <ins class="diffchange diffchange-inline">''</ins>d<ins class="diffchange diffchange-inline">'' </ins>= 0 ӧткодьлунъяслӧн вужъясыс лоасны <ins class="diffchange diffchange-inline">''t''⁴ </ins>+ <ins class="diffchange diffchange-inline">''pt''² </ins>+ <ins class="diffchange diffchange-inline">''</ins>qt<ins class="diffchange diffchange-inline">'' </ins>+ <ins class="diffchange diffchange-inline">''</ins>r<ins class="diffchange diffchange-inline">'' </ins>= 0 ӧткодьлунлӧн вужъяснас; квадрата ӧткодьлунъяслӧн вужъяслы формула эм нин.</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Сідзкӧ, миянлы колӧ корсьны a, b, c да <del class="diffchange diffchange-inline">d‐лы </del>формула. Скобкаяс восьтам да артмӧдам:</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>Сідзкӧ, миянлы колӧ корсьны <ins class="diffchange diffchange-inline">''</ins>a<ins class="diffchange diffchange-inline">''</ins>, <ins class="diffchange diffchange-inline">''</ins>b<ins class="diffchange diffchange-inline">''</ins>, <ins class="diffchange diffchange-inline">''</ins>c<ins class="diffchange diffchange-inline">'' </ins>да <ins class="diffchange diffchange-inline">''d''‐лы </ins>формула. Скобкаяс восьтам да артмӧдам:</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">t⁴ </del>+ <del class="diffchange diffchange-inline">pt² </del>+ qt + r =</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">''t''⁴ </ins>+ <ins class="diffchange diffchange-inline">''pt''² </ins>+ <ins class="diffchange diffchange-inline">''</ins>qt<ins class="diffchange diffchange-inline">'' </ins>+ <ins class="diffchange diffchange-inline">''</ins>r<ins class="diffchange diffchange-inline">'' </ins>= <ins class="diffchange diffchange-inline">''t''⁴ </ins>+ (<ins class="diffchange diffchange-inline">''</ins>a<ins class="diffchange diffchange-inline">'' </ins>+ <ins class="diffchange diffchange-inline">''</ins>c<ins class="diffchange diffchange-inline">''</ins>)<ins class="diffchange diffchange-inline">''t''³ </ins>+ (<ins class="diffchange diffchange-inline">''</ins>b<ins class="diffchange diffchange-inline">'' </ins>+ <ins class="diffchange diffchange-inline">''</ins>d<ins class="diffchange diffchange-inline">'' </ins>+ <ins class="diffchange diffchange-inline">''</ins>ac<ins class="diffchange diffchange-inline">''</ins>)<ins class="diffchange diffchange-inline">''t''² </ins>+ (<ins class="diffchange diffchange-inline">''</ins>ad<ins class="diffchange diffchange-inline">'' </ins>+ <ins class="diffchange diffchange-inline">''</ins>bc<ins class="diffchange diffchange-inline">''</ins>)<ins class="diffchange diffchange-inline">''</ins>t<ins class="diffchange diffchange-inline">'' </ins>+ <ins class="diffchange diffchange-inline">''</ins>bd<ins class="diffchange diffchange-inline">''</ins>.</div></td></tr> <tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>&#160;</div></td><td colspan="2">&#160;</td></tr> <tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">= t⁴ </del>+ (a + c)<del class="diffchange diffchange-inline">t³ </del>+ (b + d + ac)<del class="diffchange diffchange-inline">t² </del>+ (ad + bc)t + bd.</div></td><td colspan="2">&#160;</td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>Сідзкӧ,</div></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>Сідзкӧ,</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>a + c = 0,&#160; b + d + ac = p, ad + bc = q, bd = r.</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">''</ins>a<ins class="diffchange diffchange-inline">'' </ins>+ <ins class="diffchange diffchange-inline">''</ins>c<ins class="diffchange diffchange-inline">'' </ins>= 0,&#160; <ins class="diffchange diffchange-inline">''</ins>b<ins class="diffchange diffchange-inline">'' </ins>+ <ins class="diffchange diffchange-inline">''</ins>d<ins class="diffchange diffchange-inline">'' </ins>+ <ins class="diffchange diffchange-inline">''</ins>ac<ins class="diffchange diffchange-inline">'' </ins>= <ins class="diffchange diffchange-inline">''</ins>p<ins class="diffchange diffchange-inline">''</ins>, <ins class="diffchange diffchange-inline">''</ins>ad<ins class="diffchange diffchange-inline">'' </ins>+ <ins class="diffchange diffchange-inline">''</ins>bc<ins class="diffchange diffchange-inline">'' </ins>= <ins class="diffchange diffchange-inline">''</ins>q<ins class="diffchange diffchange-inline">''</ins>, <ins class="diffchange diffchange-inline">''</ins>bd<ins class="diffchange diffchange-inline">'' </ins>= <ins class="diffchange diffchange-inline">''</ins>r<ins class="diffchange diffchange-inline">''</ins>.</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Ми аддзам: c = <del class="diffchange diffchange-inline">−a</del>; мӧд да коймӧд ӧткодьлунъясысь артмӧ</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>Ми аддзам: <ins class="diffchange diffchange-inline">''</ins>c<ins class="diffchange diffchange-inline">'' </ins>= <ins class="diffchange diffchange-inline">−''a''</ins>; мӧд да коймӧд ӧткодьлунъясысь артмӧ</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>b + d = p + <del class="diffchange diffchange-inline">a²</del>, d − b = q/a.</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">''</ins>b<ins class="diffchange diffchange-inline">'' </ins>+ <ins class="diffchange diffchange-inline">''</ins>d<ins class="diffchange diffchange-inline">'' </ins>= <ins class="diffchange diffchange-inline">''</ins>p<ins class="diffchange diffchange-inline">'' </ins>+ <ins class="diffchange diffchange-inline">''a''²</ins>, <ins class="diffchange diffchange-inline">''</ins>d<ins class="diffchange diffchange-inline">'' </ins>− <ins class="diffchange diffchange-inline">''</ins>b<ins class="diffchange diffchange-inline">'' </ins>= <ins class="diffchange diffchange-inline">''</ins>q<ins class="diffchange diffchange-inline">''</ins>/<ins class="diffchange diffchange-inline">''</ins>a<ins class="diffchange diffchange-inline">''</ins>.</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Сідзкӧ, <del class="diffchange diffchange-inline">2b </del>= p + <del class="diffchange diffchange-inline">a² </del>− q/a, <del class="diffchange diffchange-inline">2d </del>= p + <del class="diffchange diffchange-inline">a² </del>+ q/a. Нёльӧд ӧткодьлун серти, <del class="diffchange diffchange-inline">4bd </del>= <del class="diffchange diffchange-inline">4r</del>, либӧ</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>Сідзкӧ, <ins class="diffchange diffchange-inline">2''b'' </ins>= <ins class="diffchange diffchange-inline">''</ins>p<ins class="diffchange diffchange-inline">'' </ins>+ <ins class="diffchange diffchange-inline">''a''² </ins>− <ins class="diffchange diffchange-inline">''</ins>q<ins class="diffchange diffchange-inline">''</ins>/<ins class="diffchange diffchange-inline">''</ins>a<ins class="diffchange diffchange-inline">''</ins>, <ins class="diffchange diffchange-inline">2''d'' </ins>= <ins class="diffchange diffchange-inline">''</ins>p<ins class="diffchange diffchange-inline">'' </ins>+ <ins class="diffchange diffchange-inline">''a''² </ins>+ <ins class="diffchange diffchange-inline">''</ins>q<ins class="diffchange diffchange-inline">''</ins>/<ins class="diffchange diffchange-inline">''</ins>a<ins class="diffchange diffchange-inline">''</ins>. Нёльӧд ӧткодьлун серти, <ins class="diffchange diffchange-inline">4''bd'' </ins>= <ins class="diffchange diffchange-inline">4''r''</ins>, либӧ</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>(p + <del class="diffchange diffchange-inline">a²</del>)² − <del class="diffchange diffchange-inline">q²</del>/<del class="diffchange diffchange-inline">a² </del>= <del class="diffchange diffchange-inline">4r</del>.</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>(<ins class="diffchange diffchange-inline">''</ins>p<ins class="diffchange diffchange-inline">'' </ins>+ <ins class="diffchange diffchange-inline">''a''²</ins>)² − <ins class="diffchange diffchange-inline">''q''²</ins>/<ins class="diffchange diffchange-inline">''a''² </ins>= <ins class="diffchange diffchange-inline">4''r''</ins>.</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Гижам кӧ y = <del class="diffchange diffchange-inline">a²</del>, артмас куба ӧткодьлун:</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>Гижам кӧ <ins class="diffchange diffchange-inline">''</ins>y<ins class="diffchange diffchange-inline">'' </ins>= <ins class="diffchange diffchange-inline">''a''²</ins>, артмас куба ӧткодьлун:</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>y(p + y)² − <del class="diffchange diffchange-inline">q² </del>= <del class="diffchange diffchange-inline">4ry</del>.</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">''</ins>y<ins class="diffchange diffchange-inline">''</ins>(<ins class="diffchange diffchange-inline">''</ins>p<ins class="diffchange diffchange-inline">'' </ins>+ <ins class="diffchange diffchange-inline">''</ins>y<ins class="diffchange diffchange-inline">''</ins>)² − <ins class="diffchange diffchange-inline">''q''² </ins>= <ins class="diffchange diffchange-inline">4''ry''</ins>.</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Сылӧн вужйыслы формула эм нин; сідзкӧ, a, b, c да <del class="diffchange diffchange-inline">d‐лы </del>тшӧтш формула эм.</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>Сылӧн вужйыслы формула эм нин; сідзкӧ, <ins class="diffchange diffchange-inline">''</ins>a<ins class="diffchange diffchange-inline">''</ins>, <ins class="diffchange diffchange-inline">''</ins>b<ins class="diffchange diffchange-inline">''</ins>, <ins class="diffchange diffchange-inline">''</ins>c<ins class="diffchange diffchange-inline">'' </ins>да <ins class="diffchange diffchange-inline">''d''‐лы </ins>тшӧтш формула эм.</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>==Содтӧд юӧр==</div></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>==Содтӧд юӧр==</div></td></tr> </table>

Наста https://wiki.komikyv.org/index.php?title=%D0%9D%D1%91%D0%BB%D1%8C%D3%A7%D0%B4_%D1%82%D1%88%D1%83%D0%BF%D3%A7%D0%B4%D0%B0_%D3%A7%D1%82%D0%BA%D0%BE%D0%B4%D1%8C%D0%BB%D1%83%D0%BD%D0%BB%D3%A7%D0%BD_%D0%B2%D1%83%D0%B6%D0%BB%D1%8B_%D1%84%D0%BE%D1%80%D0%BC%D1%83%D0%BB%D0%B0&diff=80761&oldid=prev 2022-04-09T21:31:42Z

<p>‎<span dir="auto"><span class="autocomment">История</span></span></p> <table class="diff diff-contentalign-left" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr style="vertical-align: top;" lang="kv"> <td colspan="2" style="background-color: white; color:black; text-align: center;">← Предыдущая</td> <td colspan="2" style="background-color: white; color:black; text-align: center;">Версия 21:31, 9 кос му 2022</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l15" >Строка 15:</td> <td colspan="2" class="diff-lineno">Строка 15:</td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>==История==</div></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>==История==</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Татшӧм ӧткодьлунъяссӧ медводз видлалӧмаӧсь важ индияса математикъяс. Шуам, Бхаскара XII‐ӧд нэмын петкӧдлӧма, кыдзи корсьны <del class="diffchange diffchange-inline">x⁴ </del>− <del class="diffchange diffchange-inline">2x² </del>− <del class="diffchange diffchange-inline">400x </del>= 9999 ӧткодьлунлысь вужсӧ.</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>Татшӧм ӧткодьлунъяссӧ медводз видлалӧмаӧсь важ индияса математикъяс. Шуам, Бхаскара XII‐ӧд нэмын петкӧдлӧма, кыдзи корсьны <ins class="diffchange diffchange-inline">''x''⁴ </ins>− <ins class="diffchange diffchange-inline">2''x''² </ins>− <ins class="diffchange diffchange-inline">400''x'' </ins>= 9999 ӧткодьлунлысь вужсӧ.</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>1540-ӧд воын Лодовико Феррари гӧгӧрвоӧма, кыдзи корсьны нёльӧд тшупӧда ӧткодьлунлысь вужсӧ коймӧд тшупӧда ӧткодьлун отсӧгӧн. Вит во мысти Кардано йӧзӧдас сылысь методсӧ Ars Magna небӧгас: сэки тӧдса нин лоас, кыдзи коймӧд тшупӧда ӧткодьлунлысь вуж корсьны. (Серпас вылас англичан кыв вылӧ вуджӧдӧм небӧгыс; сэні ставыс гижӧма ӧнія терминъясӧн да формулаясӧн.)</div></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>1540-ӧд воын Лодовико Феррари гӧгӧрвоӧма, кыдзи корсьны нёльӧд тшупӧда ӧткодьлунлысь вужсӧ коймӧд тшупӧда ӧткодьлун отсӧгӧн. Вит во мысти Кардано йӧзӧдас сылысь методсӧ Ars Magna небӧгас: сэки тӧдса нин лоас, кыдзи коймӧд тшупӧда ӧткодьлунлысь вуж корсьны. (Серпас вылас англичан кыв вылӧ вуджӧдӧм небӧгыс; сэні ставыс гижӧма ӧнія терминъясӧн да формулаясӧн.)</div></td></tr> </table>

Наста https://wiki.komikyv.org/index.php?title=%D0%9D%D1%91%D0%BB%D1%8C%D3%A7%D0%B4_%D1%82%D1%88%D1%83%D0%BF%D3%A7%D0%B4%D0%B0_%D3%A7%D1%82%D0%BA%D0%BE%D0%B4%D1%8C%D0%BB%D1%83%D0%BD%D0%BB%D3%A7%D0%BD_%D0%B2%D1%83%D0%B6%D0%BB%D1%8B_%D1%84%D0%BE%D1%80%D0%BC%D1%83%D0%BB%D0%B0&diff=80760&oldid=prev 2022-04-09T21:30:54Z

<p>‎<span dir="auto"><span class="autocomment">Нёльӧд тшупӧда ӧткодьлун</span></span></p> <table class="diff diff-contentalign-left" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr style="vertical-align: top;" lang="kv"> <td colspan="2" style="background-color: white; color:black; text-align: center;">← Предыдущая</td> <td colspan="2" style="background-color: white; color:black; text-align: center;">Версия 21:30, 9 кос му 2022</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l11" >Строка 11:</td> <td colspan="2" class="diff-lineno">Строка 11:</td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>Ӧні висьталам нёльӧд тшупӧда ӧткодьлун йылысь: &#160;</div></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>Ӧні висьталам нёльӧд тшупӧда ӧткодьлун йылысь: &#160;</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">x⁴ </del>+ <del class="diffchange diffchange-inline">kx³ </del>+ <del class="diffchange diffchange-inline">lx² </del>+ mx + n = 0. &#160;</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">''x''⁴ </ins>+ <ins class="diffchange diffchange-inline">''kx''³ </ins>+ <ins class="diffchange diffchange-inline">''lx''² </ins>+ <ins class="diffchange diffchange-inline">''</ins>mx<ins class="diffchange diffchange-inline">'' </ins>+ <ins class="diffchange diffchange-inline">''</ins>n<ins class="diffchange diffchange-inline">'' </ins>= 0.</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>==История==</div></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>==История==</div></td></tr> </table>

Наста https://wiki.komikyv.org/index.php?title=%D0%9D%D1%91%D0%BB%D1%8C%D3%A7%D0%B4_%D1%82%D1%88%D1%83%D0%BF%D3%A7%D0%B4%D0%B0_%D3%A7%D1%82%D0%BA%D0%BE%D0%B4%D1%8C%D0%BB%D1%83%D0%BD%D0%BB%D3%A7%D0%BD_%D0%B2%D1%83%D0%B6%D0%BB%D1%8B_%D1%84%D0%BE%D1%80%D0%BC%D1%83%D0%BB%D0%B0&diff=80759&oldid=prev 2022-04-09T21:30:08Z

<p>Новая страница: «==Терминъяс== ӧткодьлун — уравнение тшупӧд — степень вуж — корень лыдмӧдны — умножить…»</p> <p><b>Выль лист бок</b></p><div>==Терминъяс==<br /> ӧткодьлун — уравнение<br /> тшупӧд — степень<br /> вуж — корень<br /> лыдмӧдны — умножить<br /> <br /> ==Нёльӧд тшупӧда ӧткодьлун==<br /> <br /> Водзын ми висьтавлім коймӧд тшупӧда (куба) ӧткодьлун йылысь. 16-ӧд нэмын Сципионе дель Ферро да Тарталья лӧсьӧдӧмаӧсь сылысь вуж корсян метод (ӧнія ногӧн кӧ шуны, формула).<br /> <br /> Ӧні висьталам нёльӧд тшупӧда ӧткодьлун йылысь: <br /> <br /> x⁴ + kx³ + lx² + mx + n = 0. <br /> <br /> ==История==<br /> <br /> Татшӧм ӧткодьлунъяссӧ медводз видлалӧмаӧсь важ индияса математикъяс. Шуам, Бхаскара XII‐ӧд нэмын петкӧдлӧма, кыдзи корсьны x⁴ − 2x² − 400x = 9999 ӧткодьлунлысь вужсӧ.<br /> <br /> 1540-ӧд воын Лодовико Феррари гӧгӧрвоӧма, кыдзи корсьны нёльӧд тшупӧда ӧткодьлунлысь вужсӧ коймӧд тшупӧда ӧткодьлун отсӧгӧн. Вит во мысти Кардано йӧзӧдас сылысь методсӧ Ars Magna небӧгас: сэки тӧдса нин лоас, кыдзи коймӧд тшупӧда ӧткодьлунлысь вуж корсьны. (Серпас вылас англичан кыв вылӧ вуджӧдӧм небӧгыс; сэні ставыс гижӧма ӧнія терминъясӧн да формулаясӧн.)<br /> <br /> ==Формула артмӧдӧм==<br /> <br /> x⁴ + kx³ + lx² + mx + n = 0 ӧткодьлунлысь вужсӧ позьӧ со кыдзи артмӧдны (тайӧ абу Феррарилӧн ногыс). Гижам кӧ x = t + k/4, лоас<br /> <br /> t⁴ + pt² + qt + r = 0<br /> <br /> ӧткодьлун; p, q, r лыдъяссӧ позьӧ гижны k, l, m да n пыр — содтӧмӧн, чинтӧмӧн, лыдмӧдӧмӧн да юклӧмӧн. Кутам корсьны сэтшӧм a, b, c да d лыдъяс, медым <br /> <br /> t⁴ + pt² + qt + r = (t² + at + b)(t² + ct + d).<br /> <br /> Сэки t² + at + b = 0 да t² + ct + d = 0 ӧткодьлунъяслӧн вужъясыс лоасны t⁴ + pt² + qt + r = 0 ӧткодьлунлӧн вужъяснас; квадрата ӧткодьлунъяслӧн вужъяслы формула эм нин.<br /> <br /> Сідзкӧ, миянлы колӧ корсьны a, b, c да d‐лы формула. Скобкаяс восьтам да артмӧдам:<br /> <br /> t⁴ + pt² + qt + r =<br /> <br /> = t⁴ + (a + c)t³ + (b + d + ac)t² + (ad + bc)t + bd.<br /> <br /> Сідзкӧ,<br /> <br /> a + c = 0, b + d + ac = p, ad + bc = q, bd = r.<br /> <br /> Ми аддзам: c = −a; мӧд да коймӧд ӧткодьлунъясысь артмӧ<br /> <br /> b + d = p + a², d − b = q/a.<br /> <br /> Сідзкӧ, 2b = p + a² − q/a, 2d = p + a² + q/a. Нёльӧд ӧткодьлун серти, 4bd = 4r, либӧ<br /> <br /> (p + a²)² − q²/a² = 4r.<br /> <br /> Гижам кӧ y = a², артмас куба ӧткодьлун:<br /> <br /> y(p + y)² − q² = 4ry.<br /> <br /> Сылӧн вужйыслы формула эм нин; сідзкӧ, a, b, c да d‐лы тшӧтш формула эм.<br /> <br /> ==Содтӧд юӧр==<br /> <br /> [https://lovziem.blogspot.com/2022/03/blog-post_27.html Велӧдӧм паськӧдан блогын]<br /> <br /> [[Category:Математика]]</div>

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