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<blockquote data-quote="imhotep" data-source="post: 30685188" data-attributes="member: 562115"><p>I don't understand what you did. THis is a Quartic equation. It remained unsolveable till Ferrari and Cardano gave the solutions. I posted a video about Cardano a while ago.</p><p>This is the highest order solvable and this was in the notes of Galois after his untimely death somewhere in the 1800s.</p><p></p><p>But some forms of the quartic equations can be solved without much problems.</p><p>By using the substitution y = x - 1/x the original equation reduces to</p><p>ay^2 + by + (2a+c) = 0 which is a quadratic of y and easily solved for y.</p><p>Then you can easily get x.</p></blockquote><p></p>
[QUOTE="imhotep, post: 30685188, member: 562115"] I don't understand what you did. THis is a Quartic equation. It remained unsolveable till Ferrari and Cardano gave the solutions. I posted a video about Cardano a while ago. This is the highest order solvable and this was in the notes of Galois after his untimely death somewhere in the 1800s. But some forms of the quartic equations can be solved without much problems. By using the substitution y = x - 1/x the original equation reduces to ay^2 + by + (2a+c) = 0 which is a quadratic of y and easily solved for y. Then you can easily get x. [/QUOTE]
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