One an alternative method for solving fourth degree polynomial equations

Abstract

This article presents an alternative method for solving fourth degree polynomial equations. Although such a result had already been aimed for some time ago, back in the 16th century, by the Italian mathematician Lodovico Ferrari, this work gains originality for being relatively outside of other methods previously discussed. In this work, we will present two original theorems and two corollaries. We will start by introducing a special model of a fourth degree polynomial, which allows us to clearly visualize all its roots. Next, we will demonstrate the main result of this study: the ability to convert any generic fourth-degree polynomial into a special format, thus facilitating the identification of its roots. This method offers a different perspective on solving complex polynomial equations, providing a clear and systematic framework for dealing with problems that have defied conventional methods. Finally, practical examples will be presented that illustrate the application of this method. It is hoped that this result can serve as inspiration and basis for future work that addresses this topic in contemporary mathematics.