document.write( "Question 319025: find the center and the radius of the circle x2+y2 - 10x+2y+22=0 \n" ); document.write( "

Algebra.Com's Answer #228363 by Fombitz(32388) $\"\"$ $\"About$

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Complete the square in x and y.
\n" ); document.write( " $\"x%5E2%2By%5E2+-+10x%2B2y%2B22=0\"$
\n" ); document.write( " $\"x%5E2-10x%2By%5E2%2B2y%2B22=0\"$
\n" ); document.write( " $\"%28x%5E2-10x%2B25%29%2B%28y%5E2%2B2y%2B1%29%2B22=25%2B1\"$
\n" ); document.write( " $\"%28x-5%29%5E2%2B%28y%2B1%29%5E2%2B22=26\"$
\n" ); document.write( " $\"%28x-5%29%5E2%2B%28y%2B1%29%5E2=4\"$
\n" ); document.write( "Compare to the general equation for a circle centered at (h,k) with radius R,
\n" ); document.write( " $\"%28x-h%29%5E2%2B%28y-k%29%5E2=R%5E2\"$
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\n" ); document.write( "(h,k)=( $\"5\"$ , $\"-1\"$ )
\n" ); document.write( " $\"R=2\"$
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