Solution of Polynomial Equations with Nested Radicals
Nikos Bagis
TL;DR
This paper introduces methods for solving polynomial equations using nested radicals and new functions, including solutions for sextic equations, advancing algebraic solution techniques.
Contribution
It presents novel solutions for polynomial equations with nested radicals and introduces new functions to solve the general sextic equation.
Findings
Solutions for polynomial equations with nested radicals.
A new approach to solve the general tetranomial equation.
Application of new functions to solve the sextic equation.
Abstract
In this article we present solutions of certain polynomial equations in periodic nested radicals. We also present a new way to solve the general tetranomial equation with new functions. As application of these new functions we solve the general sextic equation.
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Taxonomy
TopicsAdvanced Mathematical Identities · Advanced Combinatorial Mathematics · Mathematics and Applications