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

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Question 50633: Find two consecutive positive integers such that the sum of their squares is 85.
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
X^2+(X+1)^2=85 OR X^2+X^2+2X+1=85 OR 2X^2+2X-84=0 OR X^2+2X-42
(X-6)(X+7) OR X-6=0 OR X=6 & X+7=0 OR X=-7 THEN THE 2 NUMBERS ARE 6 & 7
PROOF 6*6+7*7=85 OR 36+49=85 OR 85=85