Solve the quadratic equation below using square roots.

To solve the quadratic equation \((x - 4)^2 = 25\) using square roots, we can follow these steps:

1. **Take the square root of both sides:**

\[
x - 4 = \pm 5
\]

This gives us two equations to solve:

- \(x - 4 = 5\)
- \(x - 4 = -5\)

2. **Solve each equation:**

For \(x - 4 = 5\):
\[
x = 5 + 4 = 9
\]

For \(x - 4 = -5\):
\[
x = -5 + 4 = -1
\]

3. **The solutions are:**
\[
x = 9 \quad \text{and} \quad x = -1
\]

Thus, the solutions to the equation \((x - 4)^2 = 25\) are \(\{-1, 9\}\).

The correct response is:

**{−1, 9}**