SOLUTION: Number Problems. Find two consecutive positive integers such that the sums of their squares is 85. I am in need of some help with this problem. Thanks.

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Question 75018This question is from textbook Beginning Algebra
: Number Problems. Find two consecutive positive integers such that the sums of their squares is 85.
I am in need of some help with this problem. Thanks.
This question is from textbook Beginning Algebra

Answer by checkley75(3666) About Me  (Show Source):
You can put this solution on YOUR website!
x^2+(x+1)^2=85
x^2+x^2+2x+2=85
2x^2+2x+1-85=0
2x^2+2x-84=0
x^2+x-42=0
(x+7)(x-6)=0
x+7=0
x=-7
-6=0
x=6 answer.
proof
6^2+7^2=85
36+49=85
84=85