SOLUTION: The equation 5x^2+4y^2=180 is a ellipse but why?

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Question 726869: The equation 5x^2+4y^2=180 is a ellipse but why?
Found 2 solutions by lwsshak3, DrBeeee:
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
The equation 5x^2+4y^2=180 is a ellipse but why?
5x^2+4y^2=180
divide by 180
x^2/36+y^2/45=1
This is an equation of an ellipse with vertical major axis and center at (0,0)
Standard form of equation for an ellipse with vertical major axis: %28x-h%29%5E2%2Fb%5E2%2B%28y-k%29%5E2%2Fa%5E2=1, a>b, (h,k)=(x,y) coordinates of the center

Answer by DrBeeee(684) About Me  (Show Source):
You can put this solution on YOUR website!
The quick short answer to your question is,"because the coefficients of x^2 and y^2 are different." If they were the same, you'd have a circle.