Authors : Shreemathi Adiga, N. Anusheela and M.A. Gopalan
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.
Shreemathi Adiga, N. Anusheela and M.A. Gopalan, 2019. On the Diophantine Equation x2 +y2 = z2+5. Journal of Engineering and Applied Sciences, 14: 3326-3337.