ON THE NEGATIVE PELL EQUATION

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ON THE NEGATIVE PELL EQUATION

Author: K.Meena, S.Vidhyalakshmi and M.A.Gopalan

Published On: 2021-11-01

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Abstract

The binary quadratic equation represented by the negative pellian is

analyzed for its distinct integer solutions. A few interesting relations among the solutions are also given. Further, employing the solutions of the above hyperbola, we have obtained solutions of other choices of hyperbola, parabola and special Pythagorean triangle.

KEYWORDS: Binary quadratic, hyperbola, parabola, integral solutions, Pell equations.

2010 mathematics subject classification: 11D09.

Keywords

Binary quadratic hyperbola parabola integral solutions Pell equations.                               2010 mathematics subject classification: 11D09.

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