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13-01-2021
Mathematics

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Prove that this equation xy + x + y = 36 has no positive integer solutions.

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13-01-2021

(x+1)(y+1) = 37. Since 37 is prime, so one of (x+1) or (y+1) must be 1, so one of x or y must be 0. Therefore, there are no positive solutions

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