Vol. 2, Issue 1 (2017)
On the binary quadratic Diophantine equation y2 = 10x2 + 24
Author(s): K Meena, S Vidhyalakshmi, N Bhuvaneswari
Abstract: The binary quadratic equation represented by the positive pellian y2 = 10x2 + 24 is analysed for its distinct integer solutions. A few interesting relations among the solutions are given. Further, employing the solutions of the above hyperbola, we have obtained solutions of other choices of hyperbolas, parabolas and special Pythagorean triangle.