SOLUTION: find the equation of the ellipse , eccentricity = 4/5 , a centre at (0,0) and foci (+-8,0)

Question 752402: find the equation of the ellipse , eccentricity = 4/5 , a centre at (0,0) and foci (+-8,0)
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
You want to fill in with the particular values. Center is at the origin so no need to worry about x and y translation. The focal distance according to your given foci is c=8.

If eccentricity is 4/5, then you have . You can find a.

Next, find b.

You do not quite need b for filling in that part of the equation but you still have the value in the form of its square.

Equation is
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