document.write( "Question 148286: Find the center and radius of the circle (x-5)2 + y2 + 2y=7 \n" ); document.write( "

Algebra.Com's Answer #108691 by Alan3354(69443) $\"\"$ $\"About$

You can put this solution on YOUR website!
Find the center and radius of the circle (x-5)2 + y2 + 2y=7
\n" ); document.write( "Put in the form $\"%28x-a%29%5E2%2B%28y-b%29%5E2+=+r%5E2\"$
\n" ); document.write( "x is ok as it is.
\n" ); document.write( "Complete the square for y
\n" ); document.write( " $\"y%5E2%2B2y%2B1+=+%28y%2B1%29%5E2\"$ , so add 1 to both sides:
\n" ); document.write( " $\"%28x-5%29%5E2%2B%28y-%28-1%29%29%5E2+=+8\"$
\n" ); document.write( "The center is at (a,b), or (5,-1) and the radius is $\"sqrt%288%29\"$ .
\n" ); document.write( " $\"sqrt%288%29+=+2sqrt%282%29\"$ \n" ); document.write( "

\n" );