Vol. 2, Issue 1 (2017)
On the binary quadratic Diophantine equation y2=68x2+13
Author(s): K Meena, MA Gopalan, S Nandhini
Abstract: The binary quadratic equation represented by the positive pellian y2=68x2+13 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.