SOLUTION: whats the standard form, center and radius for x^2+y^2+2x+y+1=0?

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Question 975613: whats the standard form, center and radius for x^2+y^2+2x+y+1=0?
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
whats the standard form, center and radius for x^2+y^2+2x+y+1=0?
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x^2+2x+y^2+y=-1
complete the square:
(x^2+2x+1)+(y^2+y+1/4)=-1+1+1/4
%28x%2B1%29%5E2%2B%28y%2B%281%2F2%29%29%5E2=1%2F4
This is an equation of a circle:
Its standard form: %28x-h%29%5E2%2B%28y-k%29%5E2=r%5E2, (h,k)=coordinates of center, r=radius
center: (-1, -1/2)
r^2=1/4
r=1/2