The binary quadratic equation represented by the positive pellian y2 = 14x2 + 2 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.
K. Meena, M.A Gopalan, P. Vijayashanthi. On the positive Pell equation y2 = 14x2 + 2. International Journal of Advanced Scientific Research, Volume 2, Issue 2, 2017, Pages 23-28