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INTEGRAL SOLUTIONS OF THE BINARY QUADRATIC EQUATION

Journal: International Journal of Engineering Sciences & Research Technology (IJESRT) (Vol.4, No. 7)

Publication Date:

Authors : ; ; ;

Page : 1089-1095

Keywords : KEYWORDS: Binary Quadratic; Hyperbola; Parabola; Integral Solutions; Pell Equation 2010 Mathematics subject;

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Abstract

The hyperbola given by 2 4 20 2 17 0 2 2 x ? xy ? y ? x ? y ? ? is analyzed for its non-zero distinct integer solutions. A few interesting relations among the solutions are presented. Employing the solutions of the equation under consideration,the integer solutions for a few choices of hyperbola and parabola are obtained.

Last modified: 2015-07-26 19:13:47