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On the Positive Pell Equation
Author Name

V.Anbuvalli and K.Kaviya

Abstract

A binary quadratic equation of the form where D is non-square positive integer has been study by various mathematicians for it non-trivial integral solutions when D takes different integral values. The binary quadratic Diophantine equation represented by the positive pellian  is analysed for its non-zero distinct solutions. A few interesting relations among the solutions are given. Further,employing the solutions of the above hyperbola, the solutions of other choices of hyperbolas and parabolas are obtained.

 

KEYWORDS:

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

 2010 Mathematics subject classification: 11D09



Published On :
2024-10-24

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