Question

Which strategy is the most appropriate strategy to solve
(x−1)
2
=9
?

Answer 1

$\bf (x-1)^2=9\impliedby taking~~\sqrt{\qquad }~~\textit{to both sides} \\\\\\ \sqrt{(x-1)^2}=\sqrt{9}\implies x-1=\pm \sqrt{9}\implies x-1=\pm 3 \\\\\\ x=\pm 3+1\implies x= \begin{cases} 4\\ -2 \end{cases}$