SOLUTION: The sum of the squares of two consecutive positive numbers is 85. What is the smaller number?

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Question 312337: The sum of the squares of two consecutive positive numbers is 85. What is the smaller number?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
N%5E2%2B%28N%2B1%29%5E2=85
N%5E2%2B%28N%5E2%2B2N%2B1%29=85
2N%5E2%2B2N%2B1=85
2N%5E2%2B2N-84=0
N%5E2%2BN-42=0
%28N%2B7%29%28N-6%29=0
Only need the positive solution.
+N-6=0+
+N=6
6 and 7 are the integers.