SOLUTION: Give the center and the radius of the following circle: 4x^2+4y^2-4x+8y=11

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Question 920172: Give the center and the radius of the following circle: 4x^2+4y^2-4x+8y=11
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
4x%5E2%2B4y%5E2-4x%2B8y=11
4x%5E2-4x%2B1%2B4y%5E2%2B8y%2B4=11%2B1%2B4
4%28x%5E2-x%2B1%2F4%29%2B4%28y%5E2%2B2y%2B1%29=16
4%28x-1%2F2%29%5E2%2B4%28y%2B1%29%5E2=16
%28x-1%2F2%29%5E2%2B%28y%2B1%29%5E2=4
%28x-1%2F2%29%5E2%2B%28y%2B1%29%5E2=2%5E2
That is the equation of the circle centered at (1/2,-1) with radius 2.