On the Positive Pellian Equation y 2=6x2
Journal: International Journal of Applied Mathematics & Statistical Sciences (IJAMSS) (Vol.11, No. 1)Publication Date: 2022-06-30
Authors : Shreemathi Adiga;
Page : 1-10
Keywords : Binary Quadratic; Hyperbola; Parabola; Pell Equation; Integral Solutions;
Abstract
The binary quadratic equation represented by the positive Pellian 6 10 2 2 y x is analyzed 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 hyperbola, parabola and special pythagorean triangle.
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