## Solving the Equation (x+2)^2 = 49

This equation involves a squared term, which means we'll need to use the square root property to solve for *x*. Here's a step-by-step guide:

### 1. Isolate the Squared Term

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

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

Taking the square root of both sides of the equation gives us:

√(x+2)^2 = ±√49

Remember that when we take the square root, we need to consider both positive and negative solutions.

### 3. Simplify

This simplifies to:

x + 2 = ±7

### 4. Solve for x

Now we have two separate equations to solve:

**Case 1:**x + 2 = 7- Subtracting 2 from both sides gives: x = 5

**Case 2:**x + 2 = -7- Subtracting 2 from both sides gives: x = -9

### Solutions

Therefore, the solutions to the equation (x+2)^2 = 49 are **x = 5** and **x = -9**.