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| On the Positive Pell Equation |
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Author Name J.Shanthi and K.B.Abirami Abstract A binary quadratic equation of the form KEYWORDS:Binary quadratic, Hyperbola, Parabola, Pell equation, Integral solutions. Published On : 2024-10-23 Article Download : 
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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.