Question

Solve$(q+5{)}^2=1$

Short answer

The solutions are$q=-6,q=-4$.

Step-by-step solution

Given Information.  

The Given equation is$(q+5{)}^2=1$.

Step 2:  Use the square root property.  

$$\begin{gathered} q+5=\sqrt{1} \\ q+5=\pm 1 \end{gathered}$$

Isolate the term.

$q=-5\pm 1$

Rewrite to show two solutions.

$$\begin{gathered} q=-5+1 \\ q=-4, \\ q=-5-1 \\ q=-6 \end{gathered}$$

The two solutions are$q=-6,q=-4$.