Second Degree Quinary Equation xy + XY = (k2 + 2k + 1)w2

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N. Thiruniraiselvi, Sharadha Kumar, M. A. Gopalan

Abstract

The aim of this is to determine quintuples  in integerssatisfying the quadratic diophantine  . Different sets of solutions in integers are obtained by converting it to a ternary quadratic equation through employing suitable linear transformations for which the solutions  in integers exist.Some  observations are exhibited.

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