SOLUTION: The side of one square is 4m. longer than that of another square. The area of the larger square is 4m^2 less than twice the area off the smaller square. Find the length of each squ

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Question 1050464: The side of one square is 4m. longer than that of another square. The area of the larger square is 4m^2 less than twice the area off the smaller square. Find the length of each square.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let the smaller side be x, the larger side y.
y=4%2Bx
and
y%5E2=2x%5E2-4
Substituting,
%284%2Bx%29%5E2=2x%5E2-4
16%2B8x%2Bx%5E2=2x%5E2-4
x%5E2-8x-20=0
%28x-10%29%28x%2B2%29=0
Only one solution since x must be positive,
x-10=0
x=10
So then,
y=4%2B10=14
Verifying,
14%5E2=2%2A10%5E2-4
196=2%2A100-4
196=200-4
196=196
True, good solution.