(x+4)^2=16

Jasonbradley

less than a minute read

·

Jun 16, 2024

10

Share

Solving the Equation (x + 4)² = 16

This equation involves a squared term, so 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 helps us get rid of the exponent:

√((x + 4)²) = ±√16

3. Simplify

This gives us:

x + 4 = ±4

4. Solve for x

Now we have two separate equations to solve:

• x + 4 = 4 Subtract 4 from both sides: x = 0

• x + 4 = -4 Subtract 4 from both sides: x = -8

Solutions

Therefore, the solutions to the equation (x + 4)² = 16 are x = 0 and x = -8.