Question

Solve$(r-3{)}^2=25$.

Short answer

The solutions are$r=-2,r=8$.

Step-by-step solution

Given Information.   

The Given equation is$(r-3{)}^2=25$.

 Use the square root property.   

$r-3=\pm \sqrt{25}$

Factor radical.

$r-3=\pm \sqrt{5\times 5}$

$r-3=\pm 5$

Isolate the term.

$r=3\pm 5$

Rewrite to show two solutions. 

$$\begin{gathered} r=3+5=8 \\ r=3-5=-2 \end{gathered}$$

Thus, the solutions are$r=-2,r=8$.