On the Positive Pell Equation

descriptionPublicationkeyboard_double_arrow_right Article 31 Mar 2019Publisher:International Journal for Research in Applied Science and Engineering Technology (IJRASET)Journal:International Journal for Research in Applied Science and Engineering Technology, volume 7, pages 1,433-1,440 (eissn: 2321-9653,

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Authors: Dr. A. Kavitha;

doi: 10.22214/ijraset.2019.3264 , 10.5281/zenodo.3351439 , 10.5281/zenodo.3351440

On the Positive Pell Equation

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Abstract

The binary quadratic Diophantine equation represented by the positive pellian is analyzed for its non-zero distinct 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 Pythagorean triangle.

Keywords

Binary quadratic, Hyperbola, Parabola, Integral solutions, Pell equation.

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