The given coordinates of foci are .and length of latus rectum is 8.
Since the foci are on the axis, the equation of the hyperbola is represented as,
, where is the transverse axis.(1)
Since x axis is the transverse axis, coordinates of Foci =
Length of latus rectum =
Since is non-negative,
Substitute the values of and in equation (1)
Thus, the equation of hyperbola with foci and length of latus rectum is .