SOLUTION: What is the equation of the ellipse with foci at (0,-4) and (0,4) and the sum of its focal radii being 10? Lost on this one. Please help!!

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: What is the equation of the ellipse with foci at (0,-4) and (0,4) and the sum of its focal radii being 10? Lost on this one. Please help!!      Log On


   

Question 918038: What is the equation of the ellipse with foci at (0,-4) and (0,4) and the sum of its focal radii being 10?
Lost on this one. Please help!!
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
You can derive the equation using the definition of ellipse.

The ellipse is a set of points (x,y), and ;

sqrt%28%28x-0%29%5E2%2B%28y-%28-4%29%29%5E2%29%2Bsqrt%28%28x-0%29%5E2%2B%28x-4%29%5E2%29=10
Simplify and put into standard form.