SOLUTION: what is the domain of 9x^2+16y^2-36x+96y+36=0

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Question 880913: what is the domain of 9x^2+16y^2-36x+96y+36=0
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
9x%5E2%2B16y%5E2-36x%2B96y%2B36=0
9x%5E2-36x%2B16y%5E2%2B96y%2B36=0
9%28x%5E2-4x%29%2B16%28y%5E2%2B6y%29%2B36=0
9%28x%5E2-4x%2B4%29%2B16%28y%5E2%2B6y%2B9%29%2B36=9%2A4%2B16%2A9
9%28x-2%29%5E2%2B16%28y%2B3%29%5E2%2B36=36%2B144
9%28x-2%29%5E2%2B16%28y%2B3%29%5E2=144
%28x-2%29%5E2%2F16%2B%28y%2B3%29%5E2%2F9=1
It's an ellipse centered at (2,-3) with a=4 and b=3
So the domain is [-2,6] and the range is [-6,0].