(x+4)2=16

Jasonbradley

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Jun 16, 2024

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Solving the Equation: (x+4)² = 16

This equation involves a squared term, which means we'll need to use the square root property to solve for x. Here's how to do it:

Step 1: Isolate the Squared Term

The equation is already in this form. We have (x+4)² isolated on the left side.

Step 2: Take the Square Root of Both Sides

Remember that taking the square root of a number results in both a positive and a negative value.

√(x+4)² = ±√16

Step 3: Simplify

This gives us:

x + 4 = ±4

Step 4: Solve for x

Now we have two separate equations to solve:

• Case 1: x + 4 = 4

  • Subtract 4 from both sides: x = 0

• Case 2: 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.