Open Science Repository Mathematics

doi: 10.7392/openaccess.23050495


A Formula for Solving General Quintics: A Foundation for Solving General Polynomials of Higher Degrees


Samuel Bonaya Buya

Ngao, Kenya


Abstract

I explore possible methods of solving general quintics and higher degree polynomials. In this paper I will attempt to show that each quintic has an auxiliary cubic equation. I will therefore attempt to bring a method of deriving a general quintic and its possible auxiliary cubic equation forms. I propose the same method to be used to generate higher degree polynomials.

Keywords: radical solution of general quintics and other higher degree polynomials, disproof of Abel’s impossibility theorem, formula solutions of irreducible quintics.

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Citation: Buya, S. B. (2014). A Formula for Solving General Quintics: A Foundation for Solving General Polynomials of Higher Degrees. Open Science Repository Mathematics, Online(open-access), e23050495. doi:10.7392/openaccess.23050495

Received: January 16, 2014

Published: February 13, 2014

Copyright: © 2014 Buya, S. B. Creative Commons Attribution 3.0 Unported License.

Contact: research@open-science-repository.com



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APA

Buya, S. B. (2014). A Formula for Solving General Quintics: A Foundation for Solving General Polynomials of Higher Degrees. Open Science Repository Mathematics, Online(open-access), e23050495. doi:10.7392/openaccess.23050495

MLA

Buya, Samuel Bonaya. “A Formula for Solving General Quintics: A Foundation for Solving General Polynomials of Higher Degrees.” Open Science Repository Mathematics Online.open-access (2014): e23050495.

Chicago

Buya, Samuel Bonaya. “A Formula for Solving General Quintics: A Foundation for Solving General Polynomials of Higher Degrees.” Open Science Repository Mathematics Online, no. open-access (February 13, 2014): e23050495. doi:10.7392/openaccess.23050495.

Harvard

Buya, S.B., 2014. A Formula for Solving General Quintics: A Foundation for Solving General Polynomials of Higher Degrees. Open Science Repository Mathematics, Online(open-access), p.e23050495.

Science

1. S. B. Buya, A Formula for Solving General Quintics: A Foundation for Solving General Polynomials of Higher Degrees, Open Sci. Repos. Math. Online, e23050495 (2014).

Nature

1. Buya, S. B. A Formula for Solving General Quintics: A Foundation for Solving General Polynomials of Higher Degrees. Open Sci. Repos. Math. Online, e23050495 (2014).


doi

Research registered in the DOI resolution system as: 10.7392/openaccess.23050495.


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Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 Unported License.