Observation on the Non-Homogeneous Binary Quadratic Diophantine Equation 5x2-6y2=5

Abstract

Abstract. Non-homogeneous binary quadratic equation represents hyperbola given by 5 6 5 2 2 = − y x is analyzed for its non-zero distinct integer solutions. A few interesting relation between the solution of the given hyperbola, integer solutions for other choices of hyperbola and parabola are obtained.