In this paper, we discuss solvability of the Diophantine equation of the form (x1 + x2 + x3 + • • • + xn) 2 = x1x2x3• • •xn. An explicit closed form solutions are obtained by using the theory of Pell's equations which generate the different families of positive integral solutions to this equation. Some illustrative examples are inserted in order to explain the effectiveness of our results.
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