In each of the, find the equations of the hyperbola satisfying the given conditions.

vertices ( 7,0), e =

vertices ( 7,0), e =

Here, the vertices are on the x- axis

Thus, the equation of the hyperbola is of the form

Since, the vertices are ( 7,0), a = 7

It is given that e =

We know that, a² + b² = c²

Thus,

7² + b² =

Thus, the equation of the hyperbola is