International Journal of Academic Research and Development

International Journal of Academic Research and Development


International Journal of Academic Research and Development
International Journal of Academic Research and Development
Vol. 3, Issue 3 (2018)

On the ternary quadratic Diophantine equation 6(X2 + Y2)-11XY + 2(X + Y) + 4 = 27Z2


S Vidhyalakshmi, MA Gopalan, S Thenmozhi

The ternary quadratic equation given by 6(X2 + Y2)-11XY + 2(X + Y) + 4 = 27Z2 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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