Solutions of the Diophantine equations 3x+97y=z2 and 11x+89y=z2
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Abstract
In this article, we prove that the solutions of the Diophantine equations 3x + 97y = z2 and 11x + 89y = z2, where x, y and z are non – negative integers, are {(1, 0, 2), (1, 1, 10)} and {(1, 1, 10)}, respectively.
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