The vertices of the hyperbola is
and
.
The foci of the hyperbola is
and
.
Since
- coordinates of the foci are same the transverse axis of the hyperbola is vertical.
Standard form of vertical hyperbola is
.
The centre of the hyperbola is midpoint of vertices
and
.
Center of the hyperbola is
.
Distance between one of the vertices
to the center
is
.

.
The value of
is the distance from a focus
to the center
is
.


Find the value of
.

Substitute
and
.

Substitute
,
and
in
.

Thus, equation of hyperbola is
.
Equation of hyperbola is
.