On the homogeneous Ternary Quadratic Equation

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On the homogeneous Ternary Quadratic Equation

Author: S .Mallika, G.Annes joshiba Assistant professor, P G Scholar Department of Mathematics, Shrimati Indira Gandhi College, Trichy, Tamil Nadu, India

Published On: 2021-03-17

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Abstract

The ternary quadratic equation given by X²+10xy+32y²=8z²is considered and searched for its many different integer solution. Five different choices of integer solution of the above equations are presented. A few interesting relations between the solutions and special polygonal numbers are presented.

Key Words: ternary quadratic, integer solutions

MSC subject classification: 11D09

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