Divide 17 into two parts such that the difference of their square is 17.
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Let the numbers be x, 17-x
According to problem,
(17-x)^2 - x^2 = 17
289+x^2 - 34x - x^2 = 17
289 - 34x = 17
289-17= 34x
272=34x
x= 8
Therefore, numbers are 8, 9
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