Find the equation of the hyperbola, the length of whose latusrectum is 8 and eccentricity is `3//sqrt(5)dot`

Explanation

To find the equation of the hyperbola given the length of the latus rectum and the eccentricity, we can follow these steps:

### Step 1: Understand the relationship between latus rectum and parameters of the hyperbola
The length of the latus rectum \( L \) of a hyperbola is given by the formula:
\[ L = \frac{2b^2}{a} \]
Given that the length of the latus rectum is \( 8 \), we can set up the equation:
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