## Solving the Equation: (x + 4)^2 = 200

This equation involves a squared term, meaning we need to use the square root to solve for *x*. Let's break down the steps:

### 1. Isolate the squared term:

The squared term is already isolated on the left side of the equation:

**(x + 4)^2 = 200**

### 2. Take the square root of both sides:

√(x + 4)^2 = ±√200

**Remember:**When taking the square root, we consider both positive and negative solutions.

### 3. Simplify:

x + 4 = ±√200

**Simplify the radical:**√200 = √(100 * 2) = 10√2

### 4. Isolate x:

x = -4 ± 10√2

### 5. Solutions:

Therefore, the two solutions for the equation (x + 4)^2 = 200 are:

**x = -4 + 10√2****x = -4 - 10√2**

These are the exact solutions. If you need decimal approximations, you can use a calculator.