Answer
The solutions are $ 3 ± \sqrt 5$, and the solution set is {${3+\sqrt 5, 3-\sqrt 5}$} or {$ 3 ± \sqrt 5$}.
Work Step by Step
$(x - 3)^2 = 5$
Using the Square Root Property $u^2 = d$, then $u = \sqrt d$ or $u = - \sqrt d$.
Thus,
$x - 3 = \sqrt 5$ or $x - 3 = -\sqrt 5$
The solutions are $ 3 ± \sqrt 5$, and the solution set is {${3+\sqrt 5, 3-\sqrt 5}$} or {$ 3 ± \sqrt 5$}.