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Prospects for Applied Mathematics and Data Analysis

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Prospects for Applied Mathematics and Data Analysis
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Volume 2 • Issue 1 • PP: 47-60 • 2023

The Computation of the Roots for Equation 〖(ax+b)〗^n=c

Shaker AL -Assadi 1*
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Adel Al-odhari 2
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1Department of Mathematics, Faculty of Sciences, Sana' University
2Faculty of Education, Humanities and Applied Sciences ( khawlan) and Department of Foundations of Sciences, Faculty of Engineering, Sana'a University. Box:13509, Sana'a, Yemen
* Corresponding Author.
DOI https://doi.org/10.54216/PAMDA.020105
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© 2023 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

Received: August 28, 2022 Accepted: February 27, 2023
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Abstract

In this paper, we will describe a natural procedure formula that will lead us to find a solution for a class of polynomials with degree  associate with the equation .

Keywords

Exact solving nth-degree of polynomial New method

References

 

[1] Rodrigo J. M. B. Andrade, A Formula to Solve Sextic Degree Equation, arXiv:2101.02025v1,[math.GM] 4 Jan 2021.                    

[2] W. Dunham, (1990). Journey through genius: the great theorems of mathematics. New York:   

         Wiley and Sons, Inc. http://www.groups.dcs.stand.ac.uk/history/HistTopics/Quadratic          

         _etc_equations.ht ml#51[September 4, 2000].

[3]   M. L. GREEN, On the analytic solution of the equation of fifth degree, Compositio Mathematica,    

        tome 37, no 3 (1978), p. 233-241, http://www.numdam.org/item?id=CM_1978__37_3_233_0

[4] R. G. Kulkarni, Unified Method for Solving General Polynomial Equations of 

       Degree Less Than Five, Alabama Journal of Mathematics, Spring/Fall 2006, p 1-18.

[5] M. Monir, Exact solutions of sixth- and fifth-degree Equation, Research Square, License: This

   work is licensed under a Creative Commons Attribution 4.0 International License. DOI:

   https://doi.org/10.21203/rs.3.rs-1217030/v1.

[6] R. Nickalls, A new approach to solving the cubic: Cardan’s solution revealed 1, The                                  

   Mathematical Gazette (1993); 77 (November), 354–359. 

   (jstor),www.nickalls.org/dick/papers/maths/cubic1993.pdf

[7] A. V. Schulenburg and A. B. Nelson, Solution of the General Equation of the Fifth Degree, The

     Analyst , Sep., 1876, Vol. 3, No. 5 (Sep., 1876), pp. 141-148.

[8]  Robert G. Underwood, Factoring Cubic Polynomials, under_4.dvi (ajmonline.org)

[9]  H. Żolądek, The Topological Proof of Abel–Ruffini Theorem, Topological Methods in                                     

     Nonlinear Analysis Journal of the Juliusz Schauder Center Volume 16, 2000, 253–265.

 

Cite This Article

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format_quote
-Assadi, Shaker AL, Al-odhari, Adel. "The Computation of the Roots for Equation 〖(ax+b)〗^n=c." Prospects for Applied Mathematics and Data Analysis, vol. Volume 2, no. Issue 1, 2023, pp. 47-60. DOI: https://doi.org/10.54216/PAMDA.020105
-Assadi, S., Al-odhari, A. (2023). The Computation of the Roots for Equation 〖(ax+b)〗^n=c. Prospects for Applied Mathematics and Data Analysis, Volume 2(Issue 1), 47-60. DOI: https://doi.org/10.54216/PAMDA.020105
-Assadi, Shaker AL, Al-odhari, Adel. "The Computation of the Roots for Equation 〖(ax+b)〗^n=c." Prospects for Applied Mathematics and Data Analysis Volume 2, no. Issue 1 (2023): 47-60. DOI: https://doi.org/10.54216/PAMDA.020105
-Assadi, S., Al-odhari, A. (2023) 'The Computation of the Roots for Equation 〖(ax+b)〗^n=c', Prospects for Applied Mathematics and Data Analysis, Volume 2(Issue 1), pp. 47-60. DOI: https://doi.org/10.54216/PAMDA.020105
-Assadi S, Al-odhari A. The Computation of the Roots for Equation 〖(ax+b)〗^n=c. Prospects for Applied Mathematics and Data Analysis. 2023;Volume 2(Issue 1):47-60. DOI: https://doi.org/10.54216/PAMDA.020105
S. -Assadi, A. Al-odhari, "The Computation of the Roots for Equation 〖(ax+b)〗^n=c," Prospects for Applied Mathematics and Data Analysis, vol. Volume 2, no. Issue 1, pp. 47-60, 2023. DOI: https://doi.org/10.54216/PAMDA.020105
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