document.write( "Question 687905: Please answer:
\n" ); document.write( "Give the center and radius of the circle:
\n" ); document.write( " $\"X%5E2%2By%5E2%2B6x%2B5y=0\"$ \n" ); document.write( "

Algebra.Com's Answer #425394 by fcabanski(1391) $\"\"$ $\"About$

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The general formula for a square is $\"%28x-h%29%5E2+%2B+%28y-k%29%5E2+=+r\"$ where (h,k) is the center and r is the radius. To convert the given formula into the general circle formula, you complete the square.

\n" ); document.write( "Write the equation with x and y terms grouped: $\"%28x%5E2+%2B+6x%29+%2B+%28y%5E2+%2B5y%29+=+0\"$

\n" ); document.write( "For x and y parts, take 1/2 of the coefficient of the non squared term, square it, add it on both sides. $\"%28x%5E2+%2B+6x+%2B+9%29+%2B+%28y%5E2+%2B+5y+%2B6.25%29+=+9%2B6.25\"$

\n" ); document.write( "Write each (the x and y part) in squared form: $\"%28x%2B3%29%5E2+%2B+%28y%2B2.5%29%5E2+=+15.25\"$ ----> $\"%28x-%28-3%29%29%5E2+%2B+%28y-%28-2.5%29%29%5E2+=15.25\"$

\n" ); document.write( "The radius is 15.25. The center is (-3, -2.5)
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Hope the solution helped. Sometimes you need more than a solution. Contact fcabanski@hotmail.com for online, private tutoring, or personalized problem solving (quick for groups of problems.) \n" ); document.write( "

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