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


14
1