Question

(x-2)^2 + 3=0

Answer 1

set it up like this
(x-2)(x-2) +3 = 0
now distribute

Answer 2

subtract 3, take the square root, don't forget the \(\pm\)
add 2
your answers will be complex

Answer 3

\[(x-2)^2=-3\]
\[x-2=\pm\sqrt{-3}=\pm\sqrt{3}i\]
\[x=2\pm\sqrt{3}i\]