SOLUTION: Put the equation in standard form for an ellipse. 9x^2-54x+4y^2+8y=-49

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Question 646603: Put the equation in standard form for an ellipse.
9x^2-54x+4y^2+8y=-49
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Put the equation in standard form for an ellipse.
9x^2-54x+4y^2+8y=-49
complete the squares
9(x^2-6x+9)+4(y^2+2y+1)=-49+81+4
9(x-3)^2+4(y+1)^2=36
equation in standard form:
%28x-3%29%5E2%2F4%2B%28y%2B1%29%5E2%2F9=1
This is an equation of an ellipse with vertical major axis and center at(3,-1)