Solve Using the Square Root Property (x+5)^2=1

${(x + 5)}^{2} = 1$

Step 1

Take the specified root of both sides of the equation to eliminate the exponent on the left side.

$x + 5 = \pm \sqrt{1}$

Step 2

Any root of $1$ is $1$ .

$x + 5 = \pm 1$

Step 3

The complete solution is the result of both the positive and negative portions of the solution.

First, use the positive value of the $\pm$ to find the first solution.

$x + 5 = 1$

Move all terms not containing $x$ to the right side of the equation.

Subtract $5$ from both sides of the equation.

$x = 1 - 5$

Subtract $5$ from $1$ .

$x = - 4$

Next, use the negative value of the $\pm$ to find the second solution.

$x + 5 = - 1$

Move all terms not containing $x$ to the right side of the equation.

Subtract $5$ from both sides of the equation.

$x = - 1 - 5$

Subtract $5$ from $- 1$ .

$x = - 6$

The complete solution is the result of both the positive and negative portions of the solution.

$x = - 4, - 6$