SOLUTION: Write the equation of the conic below in standard form 16x^2 + 25y^2 - 96x - 200y = -144

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Question 435222: Write the equation of the conic below in standard form 16x^2 + 25y^2 - 96x - 200y = -144
Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!
To get the standard form of the conic 16x%5E2%2B25y%5E2-96x-200y=-144, we make the below transformations:
%284x%29%5E2-2%2A4%2A12x%2B144-144%2B%285y%29%5E2-2%2A5%2A20y%2B400-400=-144
16%28x-3%29%5E2%2B25%28y-4%29%5E2=400, divide both sides by 400,
%28x-3%29%5E2%2F25%2B%28y-4%29%5E2%2F16=1, the final equation represent an ellipse centered at
(3, 4), with major axis 10 and minor axis 8.