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Journal of Engineering and Applied Sciences

ISSN: Online 1818-7803
ISSN: Print 1816-949x
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On the Diophantine Equation x2 +y2 = z2+5

Shreemathi Adiga, N. Anusheela and M.A. Gopalan
Page: 3326-3337 | Received 21 Sep 2022, Published online: 21 Sep 2022

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https://doi.org/10.36478/jeasci.2019.3326.3337

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Abstract

This study concerns with the problem of obtaining non-zero distinct integer solutions to the given ternary quadratic Diophantine equation by introducing linear transformations. A few interesting relations among the solutions are given. From the resulting solutions of the given equation integer solutions to different choices of parabola and hyperbola are obtained. Construction of Diophantine 3-tuples and special dio 3-tuples is exhibited.

How to cite this article:

Shreemathi Adiga, N. Anusheela and M.A. Gopalan. On the Diophantine Equation x2 +y2 = z2+5.
DOI: https://doi.org/10.36478/jeasci.2019.3326.3337
URL: https://www.makhillpublications.co/view-article/1816-949x/jeasci.2019.3326.3337