document.write( "Question 305876: Find the center of an ellipse with the equation 9x^2+16y^2-18x+64y=70 \n" ); document.write( "

Algebra.Com's Answer #218973 by Fombitz(32388) $\"\"$ $\"About$

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Complete the square in x and y.
\n" ); document.write( " $\"9x%5E2%2B16y%5E2-18x%2B64y=70\"$
\n" ); document.write( " $\"9x%5E2-18x%2B16y%5E2%2B64y=70\"$
\n" ); document.write( " $\"9%28x%5E2-2x%29%2B16%28y%5E2%2B4y%29=70\"$
\n" ); document.write( " $\"9%28x%5E2-2x%2B1%29%2B16%28y%5E2%2B4y%2B4%29=70%2B9%2B64\"$
\n" ); document.write( " $\"9%28x-1%29%5E2%2B16%28y%2B2%29%5E2=143\"$
\n" ); document.write( " $\"%28x-1%29%5E2%2F16%2B%28y%2B2%29%5E2%2F9=143%2F144\"$
\n" ); document.write( "The center is (1,-2).
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