SOLUTION: Number problems. Find two consecutive positive integers such that the sum of their squares is 85. Thank You!!!

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Question 47423: Number problems.
Find two consecutive positive integers such that the sum of
their squares is 85.
Thank You!!!
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
First Positive Integer: i
Second Positive Integer: i + 1
%28i%29%5E2+%2B+%28i+%2B+1%29%5E2+=+85
i%5E2+%2B+i%5E2+%2B+2i+%2B+1+=+85
2i%5E2+%2B+2i+-+84+=+0
i%5E2+%2B+i+-+42+=+0
%28i+%2B+7%29%28i+-+6%29+=+0
i + 7 = 0
i = -7 NO
or
i - 6 = 0
i = 6 YES
Answer: 6 and 7