SOLUTION: find two consecutive positive integers such that the sum of their square is 85.

SOLUTION: find two consecutive positive integers such that the sum of their square is 85.

Algebra.Com

Question 84424: find two consecutive positive integers such that the sum of their square is 85.
Answer by checkley75(3666) (Show Source): You can put this solution on YOUR website!
X^2+(X+1)^2=85
X^2+X^2+2X+1-85=0
2X^2+2X-84=0
2(X^2+X-42)=0
(X-6)(X+7)=0
X-6=0
X=6 ANSWER. & Y=7
X+7=0
X=-7 ANSWER. & Y=-7
PROOF
6^2+7^2=85
36+49=85
85=85
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