Open Science Repository Mathematics

doi: 10.7392/openaccess.23050460


Disproof of Abel's Impossibility Theorem


Samuel Bonaya Buya

Ngao, Kenya


Abstract

I prove that solution to the general quintic equation is expressible by radicals, that we can state the equation of each root in terms of the coefficients of the general quintic. By the fundamental theorem of algebra, a general quintic should have five roots.

Keywords: Abel’s impossibility theorem disproof; general quintic solution in radicals.



Citation: Buya, S. B. (2013). Disproof of Abel’s Impossibility Theorem. Open Science Repository Mathematics, Online(open-access), e23050460. doi:10.7392/openaccess.230504

Received: November 13, 2013

Published: November 23, 2013

Copyright: © 2013 Buya, S. B. Creative Commons Attribution 3.0 Unported License.

Contact: research@open-science-repository.com



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APA

Buya, S. B. (2013). Disproof of Abel’s Impossibility Theorem. Open Science Repository Mathematics, Online(open-access), e23050460. doi:10.7392/openaccess.230504

MLA

Buya, Samuel Bonaya. “Disproof of Abel’s Impossibility Theorem.” Open Science Repository Mathematics Online.open-access (2013): e23050460. Web. 23 Nov. 2013.

Chicago

Buya, Samuel Bonaya. “Disproof of Abel’s Impossibility Theorem.” Open Science Repository Mathematics Online, no. open-access (November 23, 2013): e23050460. doi:10.7392/openaccess.230504.

Harvard

Buya, S.B., 2013. Disproof of Abel’s Impossibility Theorem. Open Science Repository Mathematics, Online(open-access), p.e23050460. Available at: http://www.open-science-repository.com/mathematics-23050460.html [Accessed November 23, 2013].

Science

1. S. B. Buya, Disproof of Abel’s Impossibility Theorem, Open Sci. Repos. Math. Online, e23050460 (2013).

Nature

1. Buya, S. B. Disproof of Abel’s Impossibility Theorem. Open Sci. Repos. Math. Online, e23050460 (2013).


doi

Research registered in the DOI resolution system as: 10.7392/openaccess.23050460.


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