This paper reports a general solution for the sextic equations, which is an explicit power series oftwo parameters and fit for equations with real and/or complex coefficients.The general sextic equation can be simplified by the Tschirnhausen transformations andexpressed with four items in a type, called normal type. And it can further be simplified with onlytwo non-constant coefficients into a form, called standard form. This fact means that theresolution of the sextic is a problem of two degree of freedoms.There are totally 10 types and each type contains 6 forms. Among the total 60 forms, eachcorrespondents to a power series, the coefficients in most of series are fractional sequences,some integer sequences.If the series converges, the solution is found. Otherwise, successive Tschirnhausentransformations can be employed to obtain a series of new forms until the condition ofconvergence is satisfied. And then a reverse procedure is needed to find an original root. Theexperiment results show that it is always possible to satisfy the convergence condition and findthe roots of transformed equations after several iterations.The convergence of power series in all the 60 forms are different. The most favorite type andform are recommended.Similar method can be used to the resolution of higher degree of polynomial equations.
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