Clearly, the foci (±4, 0) lie on x-axis.
∴ The equation of ellipse in standard form is

x2

a2

+

y2

b2

= 1
Now, vertices are (± 6, 0) ⇒ a = 6, foci are (± 4, 0) ⇒ c = 4
Also, we know that c2 = a2–b2
∴ (4)2 = (6)2–b2 ⇒ b2 = 36 – 16 = 20.
Hence, the required equation of ellipse is

x2

36

+

y2

20

= 1.