document.write( "Question 163647: Please help me:\r
\n" ); document.write( "\n" ); document.write( "Find the center and the radius of the circle given by x^2+8x+y^2+6y-24=0\r
\n" ); document.write( "\n" ); document.write( "Thank you. \n" ); document.write( "

Algebra.Com's Answer #120550 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( "Complete the squares in both x and y.
\n" ); document.write( "Take 1/2 of both the x and y coefficient and square it.
\n" ); document.write( "Add that number to both sides of the equation.
\n" ); document.write( " $\"%28x%5E2%2B8x%29%2B%28y%5E2%2B6y%29-24=0\"$
\n" ); document.write( " $\"%28x%5E2%2B8x%2B16%29%2B%28y%5E2%2B6y%2B9%29-24=16%2B9\"$
\n" ); document.write( " $\"%28x%2B4%29%5E2%2B%28y%2B3%29%5E2-24=25\"$
\n" ); document.write( " $\"%28x%2B4%29%5E2%2B%28y%2B3%29%5E2=49\"$
\n" ); document.write( "Compare this equation to a general form of a circle centered at (h,k) with a radius, R.
\n" ); document.write( " $\"%28x-h%29%5E2%2B%28y-k%29%5E2=R%5E2\"$
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\n" ); document.write( "This is an equation of a circle centered at (-4,-3) with a radius of 7. \n" ); document.write( "

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