ON BINARY QUADRATIC EQUATIONJournal: International Journal of Engineering Sciences & Research Technology (IJESRT) (Vol.8, No. 5)
Publication Date: 2019-05-30
Authors : S.Mallika; K.Ramya;
Page : 21-24
Keywords : Binary quadratic; Hyperbola; Parabola; Integral solutions; Pell equation;
Non-homogeneous binary quadratic equation representing hyperbola given by 5 6 5 2 2 x y is analyzed for its non-zero distinct integer solutions. A few interesting relations among its solutions are presented. Also, knowing an integral solution of the given hyperbola, integer solutions for other choices of hyperbola and parabola are presented. Also, employing the solutions of the given equation, is constructed.
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