Integral Solutions of the Non-Homogeneous Sextic Equation with three Unknowns 3(x2+y2)-2xy=972z6

G. Janaki¹ , C. Saranya²

1. Department of Mathematics, Cauvery College for Women, Trichy, India.
2. Department of Mathematics, Cauvery College for Women, Trichy, India.

Section:Research Paper, Product Type: Journal-Paper
Vol.6 , Issue.3 , pp.58-61, Mar-2020

Online published on Mar 30, 2020

Copyright © G. Janaki , C. Saranya . 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 non-homogeneous Diophantine equation of degree six with three unknowns represented by 3(x²+y²)-2xy=972z⁶ is analyzed for its non-zero distinct integer solutions. A few interesting relations between the solutions and some special numbers are presented.

Key-Words / Index Term :
Non-homogeneous, sextic equation with three unknowns, Integral solutions

References :
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