SOLUTION: Write an equation of the ellipse with the given characteristics and center at (0, 0). Vertex: (0,4) Focus: (0,2 sqrt 3) <-- like 2 then square root of 3 I can solve the ot

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Write an equation of the ellipse with the given characteristics and center at (0, 0). Vertex: (0,4) Focus: (0,2 sqrt 3) <-- like 2 then square root of 3 I can solve the ot      Log On


   

Question 787283: Write an equation of the ellipse with the given characteristics and center
at (0, 0).
Vertex: (0,4)
Focus: (0,2 sqrt 3) <-- like 2 then square root of 3
I can solve the other types of problems but I got confused when they threw in the square root number.
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Write an equation of the ellipse with the given characteristics and center
at (0, 0).
Vertex: (0,4)
Focus: (0,2 sqrt 3) <-- like 2 then square root of 3
***
Given ellipse has a vertical major axis:
Its standard form:%28x-h%29%5E2%2Fa%5E2%2B%28y-k%29%5E2%2Fb%5E2=1
center:(0,0)
a=4
a^2=16
c=2√3
c^2=4*3=12
c^2=a^2-b^2
b^2=a^2-c^2=16-12=4
equation:x%5E2%2F16%2By%5E2%2F4=1