Equation of the hyperbola with eccentricity `3/2` and foci at `(±2,0)` is

Explanation

To find the equation of the hyperbola with eccentricity \( \frac{3}{2} \) and foci at \( (±2, 0) \), we can follow these steps:

### Step 1: Identify the coordinates of the foci
The foci of the hyperbola are given as \( (±2, 0) \). This means that the distance from the center of the hyperbola to each focus is \( c = 2 \).

### Step 2: Use the relationship between eccentricity, \( a \), and \( c \)
The eccentricity \( e \) of a hyperbola is given by the formula:
\[
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