On the homogeneous quadratic Diophantine equation with three unknowns

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On the homogeneous quadratic Diophantine equation with three unknowns

Author: S.Mallika ,M.Aarthy Assistant professor ,P G Scholar Department of Mathematics, Shrimathi Indira Gandhi College, Trichy , Tamil Nadu , India.

Published On: 2021-03-17

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Abstract

The ternary quadratic equation given by 4x²-12xy+21y²=13z²isconsidered 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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