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Corpus ID: 125143788

Proof of Algebraic Solution of the General Quintic Equation,Overlooked Dimensions in Abel-Ruffini Theorem

@inproceedings{Buya2017ProofOA,
title={Proof of Algebraic Solution of the General Quintic Equation,Overlooked Dimensions in Abel-Ruffini Theorem},
author={Samuel Bonaya Buya},
year={2017}
}

I prove that the general quintic equation is solvable in radicals. Here solvability in radicals is loosely used to mean root form of the quintic equation even though there may be cases formula for the equation may result in a rational root. I re-examine Abel-Ruffini theorem in the light of Galois Theory in order to highlight some avenues possibilities and loopholes not thoroughly explored in arriving at the theorem. I show that the general quintic equation has a solvable Galois group. Proof of… Expand