ON THE POSITIVE PELL EQUATION  y^2 = 72x^2 + 36

M.A. Gopalan; A. Kavitha; A.Jesintha Mary

doi:10.29121/granthaalayah.v5.i7(SE).2017.2126

Authors

M.A.Gopalan Professor, Department of Mathematics, Shrimati Indira Gandhi College, Trichy-620 002, India
A.Kavitha Assistant Professor, Department of Mathematics, Shrimati Indira Gandhi College, Trichy-620 002, India
A.Jesintha Mary M.Phil Scholar, Department of Mathematics, Shrimati Indira Gandhi College, Trichy-620 002, India

DOI:

https://doi.org/10.29121/granthaalayah.v5.i7(SE).2017.2126

Keywords:

Binary Quadratic, Hyperbola, Parabola, Integral Solutions, Pell Equation

Abstract [English]

The binary quadratic equation represented by the positive pellian Y2 = 72X2 + 36 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.

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