Downloads
Keywords:
Binaryquadratic, Hyperbola, Parabola, Pell equation, Integral solutions.
SOLUTION OF BINARY QUADRATIC DIOPHANTINEEQUATION: y2 = 63x2 +37
Authors
Abstract
In this paper, the binaryquadratic equation y2=63x2+37, which representsa 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
License
How to Cite
DR. SHREEMATHI ADIGA*, SANJANA, DHANYA, NISHA, & PRATHIBHA. (2026). SOLUTION OF BINARY QUADRATIC DIOPHANTINEEQUATION: y2 = 63x2 +37. International Journal of Mathematical Archive, 17(4). http://ijma.info/index.php/ijma/article/view/6419
