SOLUTION: Find the center of an ellipse with the equation 9x^2+16y^2-18x+64y=70

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Question 305876: Find the center of an ellipse with the equation 9x^2+16y^2-18x+64y=70
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Complete the square in x and y.
9x%5E2%2B16y%5E2-18x%2B64y=70
9x%5E2-18x%2B16y%5E2%2B64y=70
9%28x%5E2-2x%29%2B16%28y%5E2%2B4y%29=70
9%28x%5E2-2x%2B1%29%2B16%28y%5E2%2B4y%2B4%29=70%2B9%2B64
9%28x-1%29%5E2%2B16%28y%2B2%29%5E2=143
%28x-1%29%5E2%2F16%2B%28y%2B2%29%5E2%2F9=143%2F144
The center is (1,-2).