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Title

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

  Shaker AL -Assadi 1 * ,   Adel Al-odhari 2

1  Department of Mathematics, Faculty of Sciences, Sana' University
    (shakeralassadi@gamil.com)

2  Faculty of Education, Humanities and Applied Sciences ( khawlan) and Department of Foundations of Sciences, Faculty of Engineering, Sana'a University. Box:13509, Sana'a, Yemen
    (a.aleidhri@su.edu.ye)


Doi   :   https://doi.org/10.54216/PAMDA.020105

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

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].

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        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

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[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 as :
Style #
MLA Shaker AL -Assadi, Adel Al-odhari. "The Computation of the Roots for Equation 〖(ax+b)〗^n=c." Prospects for Applied Mathematics and Data Analysis, Vol. 2, No. 1, 2023 ,PP. 47-60 (Doi   :  https://doi.org/10.54216/PAMDA.020105)
APA Shaker AL -Assadi, Adel Al-odhari. (2023). The Computation of the Roots for Equation 〖(ax+b)〗^n=c. Journal of Prospects for Applied Mathematics and Data Analysis, 2 ( 1 ), 47-60 (Doi   :  https://doi.org/10.54216/PAMDA.020105)
Chicago Shaker AL -Assadi, Adel Al-odhari. "The Computation of the Roots for Equation 〖(ax+b)〗^n=c." Journal of Prospects for Applied Mathematics and Data Analysis, 2 no. 1 (2023): 47-60 (Doi   :  https://doi.org/10.54216/PAMDA.020105)
Harvard Shaker AL -Assadi, Adel Al-odhari. (2023). The Computation of the Roots for Equation 〖(ax+b)〗^n=c. Journal of Prospects for Applied Mathematics and Data Analysis, 2 ( 1 ), 47-60 (Doi   :  https://doi.org/10.54216/PAMDA.020105)
Vancouver Shaker AL -Assadi, Adel Al-odhari. The Computation of the Roots for Equation 〖(ax+b)〗^n=c. Journal of Prospects for Applied Mathematics and Data Analysis, (2023); 2 ( 1 ): 47-60 (Doi   :  https://doi.org/10.54216/PAMDA.020105)
IEEE Shaker AL -Assadi, Adel Al-odhari, The Computation of the Roots for Equation 〖(ax+b)〗^n=c, Journal of Prospects for Applied Mathematics and Data Analysis, Vol. 2 , No. 1 , (2023) : 47-60 (Doi   :  https://doi.org/10.54216/PAMDA.020105)