Citation
Yow, Kai Siong and Sapar, Siti Hasana and Atan, Kamel Ariffin
(2013)
On the diophantine equation x² + 4.7ᵇ = y²ʳ.
Pertanika Journal of Science & Technology, 21 (2).
pp. 443-458.
ISSN 0128-7680; ESSN: 2231-8526
Abstract
This paper investigates and determines the solutions for the Diophantine equation x²+ 4.7ᵇ= y²ͬ, where x, y, bare all positive intergers and r> 1. By substituting the values of rand b respectively, generators of x and yͬ can be determined and classified into different categories. Then, by using geometric progression method, a general formula for each category can be obtained. The necessary conditions to obtain the integral solutions of x and y are also investigated.
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Official URL or Download Paper: http://www.pertanika.upm.edu.my/Pertanika%20PAPERS...
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Institute for Mathematical Research |
| Publisher: | Universiti Putra Malaysia Press |
| Keywords: | Diophantine equation; Generator; Geometric progression |
| Depositing User: | Najah Mohd Ali |
| Date Deposited: | 05 Nov 2015 01:13 |
| Last Modified: | 05 Nov 2015 01:13 |
| URI: | http://psasir.upm.edu.my/id/eprint/40548 |
| Statistic Details: | View Download Statistic |
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