
### Instruction: help me answer this question Foci (± 3√5, 0), the latus rectum is of length 8., think step by step
### Assistant: Given foci (± 3√5, 0) are on the x-axis, and the latus rectum is of length 8, so the equation of the hyperbola is of the form x2/a2 – y2/b2 = 1. Here, a = 5 and c = 3√5. We know that a2 + b2 = c2, so b2 = 20. , The answer is The equation of the hyperbola is x2/25 – y2/20 = 1.
