## Solving the Equation (x+2)^2 = 3 + 10

This article will walk you through solving the equation **(x+2)^2 = 3 + 10**.

### Simplifying the Equation

First, we need to simplify the right side of the equation:

(x+2)^2 = 13

### Taking the Square Root

To get rid of the square on the left side, we take the square root of both sides:

√(x+2)^2 = ±√13

This leaves us with:

x + 2 = ±√13

### Isolating x

Now, we need to isolate **x**. To do this, subtract 2 from both sides:

x = -2 ±√13

### The Solutions

Therefore, the solutions to the equation (x+2)^2 = 3 + 10 are:

**x = -2 + √13****x = -2 - √13**

These are the two possible values of **x** that satisfy the original equation.