General Mathematics

    

A Quasi-algebraic Method for Solving Quintic Equation

Authors: Zhi Li, Hua Li

A general formula with a parameter for the radical solution of a quintic is derived, based on the well-known Cardano-Tartaglia equation. According to the characteristics of the coefficients of the quintic in the standard Bring-Jerrard form, the range of a real root of the equation is determined, and the parameter can be quickly fixed with the required accuracy in the selected range by a trisection iteration, and all the roots of the quintic can be found. The technique has the potential to be extended to higher degree equations.

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[v1] 2021-03-04 19:44:36

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