## Solving the Equation (x-5)^2 = 20

This equation involves a squared term, which makes it a quadratic equation. Here's how to solve it:

### 1. Isolate the Squared Term

The first step is to get the squared term by itself on one side of the equation. In this case, it already is:

(x-5)^2 = 20

### 2. Take the Square Root of Both Sides

To get rid of the square, we take the square root of both sides of the equation:

√(x-5)^2 = ±√20

Remember to include both positive and negative square roots when taking the square root of a number.

### 3. Simplify

Simplifying the equation gives us:

x - 5 = ±√20

We can simplify √20 further as 2√5.

x - 5 = ±2√5

### 4. Isolate x

To get x by itself, add 5 to both sides of the equation:

x = 5 ± 2√5

### 5. Solutions

Therefore, the two solutions to the equation (x-5)^2 = 20 are:

**x = 5 + 2√5****x = 5 - 2√5**

These are the exact solutions. You can also approximate them to decimal form using a calculator.