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ON THE POSITIVE PELL EQUATION

Journal: INTERNATIONAL JOURNAL OF RESEARCH -GRANTHAALAYAH (Vol.5, No. 7)

Publication Date:

Authors : ; ; ;

Page : 68-74

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

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Abstract

The binary quadratic equation represented by the positive pellian 72 36 2 2 y  x  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.

Last modified: 2017-08-17 18:14:11