On The Negative Pell Equation x^2=8y^2-4

  • M.A.Gopalan Gopalan Professor of Mathematics
Keywords: Binary quadratic, Pell equation, Hyperbola, Parabola, Integral solutions

Abstract

The binary quadratic equation represented by x^2=8y^2-4 the negative pellian 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 hyperbolas, parabolas and special Pythagorean triangle.

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Published
2018-12-31