Author: J.Shanthi and K.B.Abirami
Published On: 2024-10-23
A binary quadratic equation of the form
where D is non-square positive integer has been study by various mathematicians for it non-trivial integral solutions when D takes different integral values. The binary quadratic Diophantine equation represented by the positive pellian
is analysed for its non-zero distinct solutions. A few interesting relations among the solutions are given. Further, employing the solutions of the above hyperbola, the solutions of other choices of hyperbolas and parabolas are obtained.
Binary quadratic, Hyperbola, Parabola, Pell equation, Integral solutions.
7
2024
1
Research Article
2/11, SASTRI NAGAR, KOYEMBEDU, CHENNAI-600107
9488577176
editor@irjweb.com, connectirj@gmail.com

This work is licensed under a Creative Commons Attribution 4.0 International License
Copyrights © IRJEdT. All Rights Reserved.