SOLUTION: The sum of the areas of two squares is 85. the length of a side of the larger square minus the length of a side of the smaller square is 1. Find the length of a side of each squar

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Question 242337: The sum of the areas of two squares is 85. the length of a side of the larger square minus the length of a side of the smaller square is 1. Find the length of a side of each square
Answer by edjones(8007) About Me  (Show Source):
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Let the side of the smaller be s and the larger s+1
s^2+(s+1)^2=85
s^2+s^2+2s+1=85
2s^2+2s-84=0
s^2+s-42=0
(s+7)(s-6)=0
s=6
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Ed