Step 1 :
It is given that the coordinates of the foci are $(\pm 5, 0)$ and the transverse axis is of length 8.
The foci are on the x - axis.
$ \therefore $ The equation of the parabola should be of the form
Length of the transverse axis is 8.
$ \Rightarrow 2a = 8 \quad \therefore a = 4$
$c^2 = a^2+b^2$
Substituting the values for c and a we get,
$25 = 16+b^2$
$ \Rightarrow b^2 = 25-16 = 9$
Hence equation of the hyperbola is