(x+5)^2=16 Square Root

Jasonbradley

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Jun 17, 2024

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Solving for x in the Equation (x+5)^2 = 16

This equation involves a squared term, so we'll need to use the square root property to solve for x.

Here's how to break down the solution:

1. Isolate the squared term: We already have the squared term 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 the positive and negative solutions.

   (x+5)² = 16

   √(x+5)² = ±√16

3. Simplify:

   x + 5 = ±4

4. Solve for x: Now we have two separate equations to solve:

   • x + 5 = 4

     • Subtract 5 from both sides: x = -1

   • x + 5 = -4

     • Subtract 5 from both sides: x = -9

Therefore, the solutions to the equation (x+5)² = 16 are x = -1 and x = -9.