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[tex]x^2+4x+y^2+y+4=0[/tex]

Which we have to rewrite so that it becomes the formula of the circle and then determine the coordinates of the center of the circle and the radius.

So I do the following:

[tex]x^2+4x+y^2+y+4=0 \Leftrightarrow x^2+4x+4+y^2+y+\frac{1}{2}=\frac{1}{2}\Leftrightarrow (x+2)^2+(y+\frac{1}{2})^2[/tex]

Then the center has got the following coordinates (-2,-½) and the radius is [tex]\frac{1}{\sqrt{2}}[/tex]

The book however says something diffrent but am I right?

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# Please confirm that I am right

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