International Journal of Advanced Scientific Research

International Journal of Advanced Scientific Research


International Journal of Advanced Scientific Research
International Journal of Advanced Scientific Research
Vol. 3, Issue 3 (2018)

On the ternary quadratic diophantine equation 4(x2 + y2) - 7xy = 76z2


MA Gopalan, S Vidhyalakshmi, Presenna Ramanand

The ternary quadratic equation given by 4(x2 + y2) - 7xy = 76z2 is considered and searched for its many different integer solutions. Four different choices of integer solutions to the above equation are presented. A few interesting relations between the solutions and special polygonal numbers are presented.
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How to cite this article:
MA Gopalan, S Vidhyalakshmi, Presenna Ramanand. On the ternary quadratic diophantine equation 4(x2 + y2) - 7xy = 76z2. International Journal of Advanced Scientific Research, Volume 3, Issue 3, 2018, Pages 33-39
International Journal of Advanced Scientific Research