A general formula to solve quintic equation

TL;DR

This paper explores a radical solution method for solving quintic equations, aiming to provide a simplified proof and example to enhance understanding of solving such equations analytically.

Contribution

It proposes a new method for solving quintic equations using radicals, with a straightforward proof and illustrative example, advancing the analytical solution techniques.

Findings

A radical solution method for quintic equations is demonstrated.

The method is illustrated with a specific example.

The approach simplifies understanding of solving quintics analytically.

Abstract

After Abel Ruffini theorem and Galois Theory the search for a method or formula to solve quintic equation ends. This paper discuss about the radical solution of quintic equation using a method that could be proved in some simple steps. A quintic equation as an example was given for understand better this method.