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

Question 726869: The equation 5x^2+4y^2=180 is a ellipse but why?

Found 2 solutions by lwsshak3, DrBeeee:
Answer by lwsshak3(11628) (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: , a>b, (h,k)=(x,y) coordinates of the center
Answer by DrBeeee(684) (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.
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