SOLUTION: The sum of the squares of two consecutive positive intergers is 85. What are the intergers?

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Question 27767: The sum of the squares of two consecutive positive intergers is 85. What are the intergers?

Answer by Paul(988) About Me  (Show Source):
You can put this solution on YOUR website!
Let the consecutive integers be x, and x+1

%28x%29%5E2%2B%28x%2B1%29%5E2=85
x%5E2%2B%28x%5E2%2B1%2B2x%29=85
2x%5E2%2B1%2B2x=85
2x%5E2%2B2x-84
x%5E2%2Bx-42

Factor:
(x+7) and (x-6)

Remove the negative left with x= 6
6+1=7

Hence, the two integers are 6 and 7.
Paul.