Question

This hyperbola is centered at the origin. Find its equation. Foci: (-9,0) and (9,0) Vertices: (-2,0) and (2,0)

Answer 1

Answer:

Step-by-step explanation:

focus distance=9

a=2 f²=a²+b² ==> b²=9²-2²=77 ==> b=√77

$\dfrac{(x-0)^2}{2^2}- \dfrac{(y-0)^2}{77}=1\\\\\\\boxed{\dfrac{x^2}{4}- \dfrac{y^2}{77}=1}$