SOLUTION: Find two consecutive positive integers such that the sum of their squares is 85.

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Question 48280: Find two consecutive positive integers such that the sum of
their squares is 85.
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
First Integer = i
Second Integer = i + 1
%28i%29%5E2+%2B+%28i+%2B+1%29%5E2+=+85
i%5E2+%2B+i%5E2+%2B+2i+%2B+1+=+85
i%5E2+%2B+i+-+42+=+0
%28i+%2B+7%29%28i+-+6%29+=+0
i = -7 and i = 6 Remember: Positive Integers
6 and 7