On the Solution to Octic Equations

Authors

Raghavendra G. Kulkarni

Volume

4

Issue

2

Abstract

We present a novel decomposition method to decompose an eighth-degree polynomial equation, into its two constituent fourth-degree polynomials, as factors, leading to its solution. The salient feature of the octic equation solved here is that, the sum of its four roots being equal to the sum of the remaining four roots. We derive the condition to be satisfied by coefficients so that the given octic is solvable by the proposed method.

First Page

193

Last Page

209

Recommended Citation

Kulkarni, Raghavendra G. (2007) "On the Solution to Octic Equations," The Mathematics Enthusiast: Vol. 4 : No. 2 , Article 6.
DOI: https://doi.org/10.54870/1551-3440.1071
Available at: https://scholarworks.umt.edu/tme/vol4/iss2/6

Digital Object Identifier (DOI)

10.54870/1551-3440.1071