document.write( "Question 905470: A circle is defined by the equation x2 + y2 – x – 2y – = 0. What are the coordinates for the center of the circle and the length of the radius? \n" ); document.write( "

Algebra.Com's Answer #549227 by Fombitz(32388) $\"\"$ $\"About$

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Complete the square in $\"x\"$ and $\"y\"$ .
\n" ); document.write( " $\"x%5E2+%2B+y%5E2+-x+-2y++=+0\"$
\n" ); document.write( " $\"x%5E2-x%2By%5E2-2y=0\"$
\n" ); document.write( " $\"%28x%5E2-x%2B1%2F4%29%2B%28y%5E2-2y%2B1%29=1%2F4%2B1\"$
\n" ); document.write( " $\"%28x-1%2F2%29%5E2%2B%28y-1%29%5E2=1%2F4%2B5%2F4\"$
\n" ); document.write( " $\"%28x-1%2F2%29%5E2%2B%28y-1%29%5E2=6%2F4=3%2F2\"$
\n" ); document.write( "Center : ( $\"1%2F2\"$ , $\"1\"$ )
\n" ); document.write( "Radius : $\"sqrt%283%2F2%29=sqrt%286%29%2F2\"$
\n" ); document.write( " \n" ); document.write( "

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