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On the Positive Pellian Equation y 2=6x2

Journal: International Journal of Applied Mathematics & Statistical Sciences (IJAMSS) (Vol.11, No. 1)

Publication Date:

Authors : ;

Page : 1-10

Keywords : Binary Quadratic; Hyperbola; Parabola; Pell Equation; Integral Solutions;

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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.

Last modified: 2022-08-01 19:55:03