@article{MAKHILLJEAS2019141017849,
    title = {On the Diophantine Equation x<sup>2</sup> +y<sup>2</sup> = z<sup>2</sup>+5},
    journal = {Journal of Engineering and Applied Sciences},
    volume = {14},
    number = {10},
    pages = {3326-3337},
    year = {2019},
    issn = {1816-949x},
    doi = {jeasci.2019.3326.3337},
    url = {https://makhillpublications.co/view-article.php?issn=1816-949x&doi=jeasci.2019.3326.3337},
    author = {Shreemathi,N. and},
    keywords = {Ternary quadratic integer solutions,parabola,hyperbola,Diophantine 3-tuple,dio 3-tuple,relation},
    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.}
    }