Foci ( 5, 0), the transverse axis is of length 8.

Here, the foci are on x-axis.

Thus,

The equation of the hyperbola is of the form

Since, the foci are (5, 0), c= 5

Since, the length of the transverse axis is 8,

2a = 8 ⇒ a = 4

We know that, a² + b² = c²

4² + b² = 5²

⇒ b² = 25 – 16 = 9

Hence, the equation of the hyperbola is