SOLUTION: what conic section does the equation x^2/36+y^2/16=1 represent?

Question 933775: what conic section does the equation x^2/36+y^2/16=1 represent?
Found 2 solutions by Alan3354, MathLover1:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
an ellipse.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
always when you see it's equal to , you know it's an ellipse
Standard equation of an ellipse is:

(if the major axis is horizontal).

(if the major axis is vertical).
since your ellipse doesn't have any value for and , means and and the center is in origin (,)
is the semi-axis and the vertical semi-axis
since your and , we can see that , so, the standard equation of your ellipse is:
(the major axis is horizontal)

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