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

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Question 48688: Find two consecutive positive integers such that the sum of their square is 85
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find two consecutive positive integers such that the sum of their square is 85
1st number: x
2nd number x+1
EQUATION:
x^2+(x+1)^2= 85
x^2+x^2+2x+1=85
2x^2+2x-84=0
x^2+x-42=0
(x+7)(x-6)=0
x=6, x+1= 7
1st number is 6
2nd number is 7
Cheers,
Stan H.
Ch
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