Find two consecutive positive integers,sum of whose square is365
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let one of the integers be x
The consecutive positive integers
∴ x² + (1 + x²) = 365
∴ x² + x² = 365 - 1
∴ 2x² = 364
∴ x² = 364/2
∴ x² = 182
∴ x =
∴ x = 13
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