TY  - JOUR
T1  - On the Diophantine Equation x<sup>2</sup> +y<sup>2</sup> = z<sup>2</sup>+5
AU - Adiga, Shreemathi AU - Anusheela, N. AU - Gopalan, M.A. 
JO  - Journal of Engineering and Applied Sciences
VL  - 14
IS  - 10
SP  - 3326
EP  - 3337
PY  - 2019
DA  - 2001/08/19
SN  - 1816-949x
DO  - jeasci.2019.3326.3337
UR  - https://makhillpublications.co/view-article.php?doi=jeasci.2019.3326.3337
KW  - Ternary quadratic integer solutions
KW  -parabola
KW  -hyperbola
KW  -Diophantine 3-tuple
KW  -dio 3-tuple
KW  -relation
AB  - 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.
ER  -