SOLUTION: 4x^2-5y^2-16x-30y-9=0

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Question 328573: 4x^2-5y^2-16x-30y-9=0
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Complete the square in x and y.
4x%5E2-5y%5E2-16x-30y-9=0
4x%5E2-16x%2B5y%5E2-30y-9=0
4%28x%5E2-4x%29%2B5%28y%5E2-6y%29-9=0
4%28x%5E2-4x%2B4%29%2B5%28y%5E2-6y%2B9%29-9=16%2B45
4%28x-2%29%5E2%2B5%28y-3%29%5E2-9=61
4%28x-2%29%5E2%2B5%28y-3%29%5E2=70
%28x-2%29%5E2%2F%2835%2F2%29%2B%28y-3%29%5E2%2F%2814%29=1
Same sign, unequal coefficients.
This is an ellipse.