Radical Solution of the General Sextic Equation

 

Abstract

A factorization method is given for solving the general sextic equation without the Tschirnhausen transformation. Three solvable factorized forms consisting of auxiliary quartic and quadratic factors. Two of these forms have one dependent parameter and are therefore not suitable for the purpose of this paper. The third factorized form selected has six independent parameters, which can be correlated to the parameters of the original sextic equation.

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