On Ternary Quadratic Homogeneous Diophantine Equation 5x2 + 5y2 ? 9xy = 20z2

Dr. P. Jayakumar, S. Prabha

Abstract: Five different methods of the non-zero integral solutions of the ternary quadratic homogeneous Diophantine equation 5x2 + 5y2 9xy =20z2 are obtained. Some interesting relations among the special numbers and the solutions are exposed.

Keywords: Ternary Quadratic, homogenous cone, integer solutions, special numbers

How to Cite?: Dr. P. Jayakumar, S. Prabha, "On Ternary Quadratic Homogeneous Diophantine Equation 5x2 + 5y2 ? 9xy = 20z2", Volume 4 Issue 3, March 2015, International Journal of Science and Research (IJSR), Pages: 37-39, https://www.ijsr.net/getabstract.php?paperid=SUB151871, DOI: https://dx.doi.org/10.21275/SUB151871