Question

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

Answer 1

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