Given the problem:
(x-3)^2 = -3
***Find by square root
First step, square root both sides (don’t forget the plus and minus sign!):
x-3 = ±√(3)i
***what’s in parenthesis is what’s under the square root. So “i” is not!!
Next, separate the plus and minus:
x-3 = √(3)i
x-3 = -√(3)i
Next, add 3 to both sides to get x alone:
x=3+√(3)i
x=3-√(3)i
These are your two solutions!
Hope this helped!