#### Question

Find the equation of the hyperbola satisfying the give conditions: Vertices (±2, 0), foci (±3, 0)

#### Solution

Vertices (±2, 0), foci (±3, 0)

Here, the vertices are on the *x*-axis.

Therefore, the equation of the hyperbola is of the form `x^2/a^2 - y^2/b^2 = 1`.

Since the vertices are (±2, 0), *a *= 2.

Since the foci are (±3, 0), *c* = 3.

We know that *a*^{2} + *b*^{2} = *c*^{2}.

Is there an error in this question or solution?

Solution Find the Equation of the Hyperbola Satisfying the Give Conditions: Vertices (±2, 0), Foci (±3, 0) Concept: Hyperbola - Eccentricity.