Find the value of `a` if `x^3-3x+a=0` has three distinct real roots.

Explanation

To find the value of \( a \) such that the equation \( x^3 - 3x + a = 0 \) has three distinct real roots, we can follow these steps:

### Step 1: Identify the function
Let \( f(x) = x^3 - 3x + a \).

### Step 2: Find the critical points
To find the critical points, we differentiate \( f(x) \) with respect to \( x \):
\[
...