Solving Polynomial Equations from Complex Numbers

TL;DR

The paper presents a method for solving polynomial equations of degree less than 5 with real parameters by treating the variable as a complex number and separating real and imaginary parts.

Contribution

It introduces a novel approach to solve low-degree polynomial equations using complex variable separation, simplifying the solution process.

Findings

Effective solution method for degree < 5 polynomials with real parameters

Reduction of polynomial solving to real and imaginary part separation

Applicable to polynomials with real coefficients and parameters

Abstract

We show that a polynomial equation of degree less than 5 and with real parameters can be solved by regarding the variable in which the polynomial depends as a complex variable. For do it so, we only have to separate the real and imaginary parts of the resultant polynomial and solve them separately.