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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 Article Download : |