Integral Solution of the Binary Quadratic Equation 3x2-y2=2 that Depicts Parabolas and Hyperbolas

Janaki G.¹ , Gowri Shankari A.²

1. PG and Research Dept. of Mathematics, Cauvery College for Women ( Autonomous), Trichy, Tamil Nadu, India.
2. PG and Research Dept. of Mathematics, Cauvery College for Women ( Autonomous), Trichy, Tamil Nadu, India.

Section:Research Paper, Product Type: Journal-Paper
Vol.10 , Issue.1 , pp.10-13, Feb-2023

Online published on Feb 28, 2023

Copyright © Janaki G., Gowri Shankari A. . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
The distinct integral solution of the binary quadratic equation 3x2-y2=2 that depicts distinct parabolas and hyperbolas are examined. A number of non-zero integral solutions are discovered, and some intriguing recurring links between them are provided.

Key-Words / Index Term :
Binary quadratic equation, Diophantine equation, Integral solutions, Hyperbola, Parabola & Pell’s equation.

References :
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