Write the equation for the ellipse with a vertex at (-6, 0) and a focus at (3√3, 0).

Question

Write the equation for the ellipse with a vertex at (-6, 0) and a focus at (3√3, 0).

Please show work when you solve it. 

Answer 1

a  = 6

c = 3*Sqrt(3)

 

a^2 - b^2 = c^2

 

36 - b^2 = 27

 

-b^2 = 27 - 36

 

-b^2 = -9

 

b^2 = 9

 

b = 3

 

x^2/36 + y^2/9 = 1