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Keywords:
Binary quadratic, Hyperbola, Parabola, Pell equation, Integral solutions.
SOLUTION OF BINARY QUADRATIC DIOPHANTINE EQUATION: y2 = 32x2 +73
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Abstract
In this paper, the binary quadratic equation y2=32x2+73, which represents a hyperbola, also known as positive form of Pell equation is analyzed for finding its non-zero distinct integer solutions. Knowing an integral solution of the given hyperbola, integer solutions for other choices of hyperbolas and parabolas are presented. A few relations between the solutions are presented, using the solutions; a special Pythagorean triangle is constructed.
Article Details
Published
2026-05-02
Section
Mathematical Section
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How to Cite
DR. SHREEMATHI ADIGA*, PRANITHA KUNDER, VINODA, NAVYA Y ACHARYA, & DIVYA. (2026). SOLUTION OF BINARY QUADRATIC DIOPHANTINE EQUATION: y2 = 32x2 +73. International Journal of Mathematical Archive, 17(4). http://www.ijma.info/index.php/ijma/article/view/6418
