SOLUTION: Please help me find the center (h,k) and radius r for the circle x^2+y^2+12x+10y+57=0

Question 226049: Please help me find the center (h,k) and radius r for the circle x^2+y^2+12x+10y+57=0
Answer by LtAurora(115) (Show Source): You can put this solution on YOUR website!

Rewrite the equation:

We have to complete the square, so the blanks are filled in the
For the x:
So, we fill in the blank like:

For the y:

The x term and the y term have to be factored, but that's easy now since they are completed squares. The x-term is simply , and the y-term is . Like this:

The center is the opposite of what's in the parentheses:
(-6,-5), with a radius of 2 (because ).
Good luck!
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