SOLUTION: Find the standard form of the equation of the ellipse with the given characteristics and center at the origin. Vertices: (0, ±8); foci: (0, ±6)

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Question 759157: Find the standard form of the equation of the ellipse with the given characteristics and center at the origin.
Vertices: (0, ±8); foci: (0, ±6)

Answer by josgarithmetic(39618)   (Show Source): You can put this solution on YOUR website!
The (main) vertices give you 'a', and the foci give you 'c'. You use a and c to get an expression, and then a value for b.

Making a drawing and showing a triangle so one side is b, another side is c, the hypotenuse is a.


and based on what you are given,



The center of the ellipse is the origin, so the equation is

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