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

This equation involves a squared term, which means we 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:**

*Remember to consider both positive and negative square roots.*

√((x + 2)^2) = ±√10

**3. Simplify:**

x + 2 = ±√10

**4. Isolate x:**

Subtract 2 from both sides:

x = -2 ±√10

**5. The Solutions:**

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

- x = -2 + √10
- x = -2 - √10

**Understanding the Solutions:**

These two solutions represent the two points on the x-axis where the graph of the function y = (x + 2)^2 intersects the horizontal line y = 10.

**Important Note:**

It is crucial to remember that taking the square root of both sides introduces the possibility of both positive and negative solutions. This is why we have two solutions in this case.