I'd seen it on wikipedia that no analytical solutions for quintic equation. However, I would like to ask are there some methods to solve it if we just consider the odd power terms shown as below:
$ax^5+ cx^3+ex+f=0$
2026-02-23 01:20:02.1771809602
Are there some methods to solve the quintic equation?
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You are wrong; there are analytic solutions for the general quintic equations. There aren't solutions by radicals, but if you want to learn about solving quintic equations by analytic methods, I suggest these books:
Or, if you feel brave enough, you can read the classic Lectures on the Icosahedron and the Solution of the Fifth Degree, by Felix Klein.