Answer
$x=3-i\sqrt 5, 3+i\sqrt 5$
Work Step by Step
$(x-3)^{2}=-5$
$x-3=\sqrt -5= 3-i\sqrt 5, 3+i\sqrt 5$
$x=3-i\sqrt 5, 3+i\sqrt 5$
Take the square root of both sides. Then isolate $x$ from both of the resulting equations to get two answers.