SOLUTION: find the center and the radius of the circle x2+y2 - 10x+2y+22=0

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Question 319025: find the center and the radius of the circle x2+y2 - 10x+2y+22=0
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Complete the square in x and y.
x%5E2%2By%5E2+-+10x%2B2y%2B22=0
x%5E2-10x%2By%5E2%2B2y%2B22=0
%28x%5E2-10x%2B25%29%2B%28y%5E2%2B2y%2B1%29%2B22=25%2B1
%28x-5%29%5E2%2B%28y%2B1%29%5E2%2B22=26
%28x-5%29%5E2%2B%28y%2B1%29%5E2=4
Compare to the general equation for a circle centered at (h,k) with radius R,
%28x-h%29%5E2%2B%28y-k%29%5E2=R%5E2
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(h,k)=(5,-1)
R=2