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Abstract: The Ternary Quadratic Diophantine Equation is given by 2 2 2 8(x y ) 15xy 7x 7 y 49 40z . Number of non-zero distinct integer solutions. Some interesting relations among the solutions and the way of factorization, along with the illusion of non-zero distinct integer solutions to the above equations are obtained
Saranya et al. (Mon,) studied this question.