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

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Question 78280: Number problems. Find two consecutive positive integers such that the sum of their squares is 85.
Answer by checkley75(3666) About Me  (Show Source):
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x^2+(x+1)^2=85
x^2+x^2+2x+1=85
2x^2+2x+2-84=0
x^2+x-42=0
(x+7)(x-6)=0
x+7=0
x=-7
x-6=0
x=6 answer.
6^2+(6+1)^2=84
36+49=85
85=85