Find the equations of the hyperbola satisfying the given conditions :Vertices `(+-7,0)`, `e=4/3`

Explanation

To find the equation of the hyperbola satisfying the given conditions, we will follow these steps:

### Step 1: Identify the standard form of the hyperbola
Since the vertices are given as \((\pm 7, 0)\), this indicates that the hyperbola opens horizontally. The standard form of a hyperbola that opens horizontally is given by:
\[ \frac{x^2}{a^2} - \frac{y^2}{b^2} = 1 \]

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