A Formula for Solving General Quintics: A Foundation for Solving General Polynomials of Higher Degrees

by Open Science Repository Mathematics
(February 2014)

Abstract

I explore possible methods of solving general quintics and higher degree polynomials. In this paper I will attempt to show that each quintic has an auxiliary cubic equation. I will therefore attempt to bring a method of deriving a general quintic and its possible auxiliary cubic equation forms. I propose the same method to be used to generate higher degree polynomials.

Keywords: radical solution of general quintics and other higher degree polynomials, disproof of Abel’s impossibility theorem, formula solutions of irreducible quintics.

Full text

A Formula for Solving General Quintics: A Foundation for Solving General Polynomials of Higher Degrees