(x+6)^2=25

Jasonbradley

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Jun 17, 2024

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Solving the Equation (x+6)^2 = 25

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

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 that when taking the square root, we need to consider both positive and negative solutions:

√((x+6)^2) = ±√25

3. Simplify

This simplifies to:

x + 6 = ±5

4. Solve for x

Now we have two separate equations:

• x + 6 = 5
• x + 6 = -5

Solving each equation for x:

• x = 5 - 6 = -1
• x = -5 - 6 = -11

Solutions

Therefore, the solutions to the equation (x+6)^2 = 25 are x = -1 and x = -11.