Title of article
On the Diophantine Equation x² + 4.7^b = y^2r
Author/Authors
Yow, K. S. Universiti Putra Malaysia - Institute for Mathematical Research, Malaysia , Sapar, S. H. Universiti Putra Malaysia - Institute for Mathematical Research, Malaysia , Atan, K. A. Universiti Putra Malaysia - Institute for Mathematical Research, Malaysia
From page
443
To page
457
Abstract
This paper investigates and determines the solutions for the Diophantine equation x² + 4.7^b = y^2r, where x, y, b are all positive intergers and r 1. By substituting the values of r and b respectively, generators of x and yr 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.
Keywords
Diophantine equation , generator , geometric progression
Journal title
Pertanika Journal of Science and Technology ( JST)
Journal title
Pertanika Journal of Science and Technology ( JST)
Record number
2650949
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