Solutions of General Pentagonal Equation Under Certain Conditions

  • Mohammed R. Karim Department of Mathematics, Alabama A&M University, Normal, AL 35762, USA
Keywords: Pentagonal Equations, Unipodal Numbers, Quartic Equation.

Abstract

It was proved by Galois that there are no formulas that can be used to solve “by radicals” general equations of degree 5 or larger. In this paper we solved the general pentagonal equation under certain conditions. We used the “Quartic Formula” and unipodal numbers respectively for condition 1 and conditions 2 to solve the general pentagonal equation. The unipodal case was elaborated with a detailed example.

Published
2017-06-10
Section
Articles