SOLUTION: I need help. What is the equation of the ellipse with foci at (0,4) and (0,4) and the sum of its focal radii being 10? 2a=10 so a=5 center is at (0,0) could the answer be x^2

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: I need help. What is the equation of the ellipse with foci at (0,4) and (0,4) and the sum of its focal radii being 10? 2a=10 so a=5 center is at (0,0) could the answer be x^2       Log On


   

Question 166195: I need help.
What is the equation of the ellipse with foci at (0,4) and (0,4) and the sum of its focal radii being 10?
2a=10 so a=5 center is at (0,0)
could the answer be x^2 + y^2 = 16 ????
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
the form of the equation with foci in the (0,plus or minus c) where c is the foci.
is %28x%5E2%2Fb%5E2%29%2B%28y%5E2%2Fa%5E2%29=1
a=10/2=5 and to get b4%5E2%2Bb%5E2=5%5E2 where c and b are the legs and a is the hypothenuse..... so b=3
equation %28x%5E2%2F3%5E2%29%2B%28y%5E2%2F5%5E2%29=1 or 25x%5E2%2B9y%5E2=225