document.write( "Question 372724: Find the center of a circle defined by the equation : x^2+y^2+12x+8y+16=0. \n" ); document.write( "

Algebra.Com's Answer #265453 by Fombitz(32388) $\"\"$ $\"About$

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Complete the square in $\"x\"$ and $\"y\"$ .
\n" ); document.write( " $\"x%5E2%2By%5E2%2B12x%2B8y%2B16=0\"$
\n" ); document.write( " $\"%28x%5E2%2B12x%2B36%29%2B%28y%5E2%2B8y%2B16%29%2B16=36%2B16\"$
\n" ); document.write( " $\"%28x%2B6%29%5E2%2B%28y%2B4%29%5E2=36\"$
\n" ); document.write( "Compare to the general equation for a circle centered at ( $\"h\"$ , $\"k\"$ ) with a radius $\"R\"$ :
\n" ); document.write( " $\"%28x-h%29%5E2%2B%28y-k%29%5E2=R%5E2\"$
\n" ); document.write( " \n" ); document.write( "

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