SOLUTION: 16x^2-96x+9y^2-36y=-36 Write in Standard form of a Ellipse

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Question 336514: 16x^2-96x+9y^2-36y=-36
Write in Standard form of a Ellipse
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
16x^2-96x+9y^2-36y=-36
Complete the square in x and y.
16x%5E2-96x%2B9y%5E2-36y=-36
16%28x%5E2-6x%29%2B9%28y%5E2-4y%29=-36
16%28x%5E2-6x%2B9%29%2B9%28y%5E2-4y%2B4%29=-36%2B16%2A9%2B9%2A4
16%28x-3%29%5E2%2B9%28y-2%29%5E2=-36%2B144%2B36
16%28x-3%29%5E2%2B9%28y-2%29%5E2=144
highlight%28%28x-3%29%5E2%2F9%2B%28y-2%29%5E2%2F16=1%29