SOLUTION: Convert 25x^2+100y^2-450x+1800y+7625=0 into standard ellipse equation form

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Question 687908: Convert 25x^2+100y^2-450x+1800y+7625=0 into standard ellipse equation form
Answer by lwsshak3(11628) About Me  (Show Source):
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Convert 25x^2+100y^2-450x+1800y+7625=0 into standard ellipse equation form
standard ellipse equation form: %28x-h%29%5E2%2Fa%5E2%2B%28y-k%29%5E2%2Fb%5E2=1, a>b, (h,k)=(x,y) coordinates of center
simplify: divide by 25
x^2+4y^2-18x+72y+305=0
complete the square:
x^2-18x+4y^2+72y+305=0
(x^2-18x+81)+4(y^2+18y+81)=-305+81+324
(x-9)^2+4(y+9)^2=100
%28x-9%29%5E2%2F100%2B%28y%2B9%29%5E2%2F25=1
This is an ellipse with horizontal major axis and center at (9,-9)