On the binary quadratic Diophantine equation y2=68x2+13
K Meena, MA Gopalan, S Nandhini
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.