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

Shaker AL -Assadi; Adel Al-odhari

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

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].

[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 As :

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

AL, S. Al-odhari, A. (2023). The Computation of the Roots for Equation 〖(ax+b)〗^n=c. Prospects for Applied Mathematics and Data Analysis, (), 47-60. DOI: https://doi.org/10.54216/PAMDA.020105

AL, Shaker. Al-odhari, Adel. The Computation of the Roots for Equation 〖(ax+b)〗^n=c. Prospects for Applied Mathematics and Data Analysis , no. (2023): 47-60. DOI: https://doi.org/10.54216/PAMDA.020105

AL, S. , Al-odhari, A. (2023) . The Computation of the Roots for Equation 〖(ax+b)〗^n=c. Prospects for Applied Mathematics and Data Analysis , () , 47-60 . DOI: https://doi.org/10.54216/PAMDA.020105

AL S. , Al-odhari A. [2023]. The Computation of the Roots for Equation 〖(ax+b)〗^n=c. Prospects for Applied Mathematics and Data Analysis. (): 47-60. DOI: https://doi.org/10.54216/PAMDA.020105

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

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