SOLUTION: Find two consecutive positive intergers the sum of whose squares is 85.

SOLUTION: Find two consecutive positive intergers the sum of whose squares is 85.

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Question 802389: Find two consecutive positive intergers the sum of whose squares is 85.
Answer by tommyt3rd(5050) (Show Source): You can put this solution on YOUR website!
Careful thought will convince you that this task is impossible. The square of an odd number is also odd. This implies that the sum of the squares of any even number of odd numbers must be even. But 85 is odd...this is a contradiction to the the above true statements :)
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