document.write( "Question 175424: find the center and radius of y^2+x^2+9y-6x-10=0 \n" ); document.write( "

Algebra.Com's Answer #130495 by Mathtut(3670) $\"\"$ $\"About$

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y^2+x^2+9y-6x-10=0
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\n" ); document.write( "we need to complete the squares on the x and y terms
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\n" ); document.write( " $\"x%5E2-6x%2B9%2By%5E2%2B9y%2B%2881%2F4%29-9-%2881%2F4%29-10=0\"$ adding and subtracting same terms to complete the square and to keep this an equivalent equation
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\n" ); document.write( " $\"%28x-3%29%5E2%2B%28y%2B9%2F2%29%5E2=10%2B9%2B%2881%2F4%29\"$ completing square
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\n" ); document.write( " $\"%28x-3%29%5E2%2B%28y%2B9%2F2%29%5E2=157%2F4\"$ combining terms on right
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\n" ); document.write( "radius is square root of the right side in this form.
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\n" ); document.write( "so the center is (3,-9/2) and the radius is $\"sqrt%28157%2F4%29=6.26\"$ \r
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