Answer:
x = 2 + 4 i or x = 2 - 4 i
Step-by-step explanation:
Solve for x:
(x - 2)^2 = -16
Hint: | Eliminate the exponent on the left hand side.
Take the square root of both sides:
x - 2 = 4 i or x - 2 = -4 i
Hint: | Look at the first equation: Solve for x.
Add 2 to both sides:
x = 2 + 4 i or x - 2 = -4 i
Hint: | Look at the second equation: Solve for x.
Add 2 to both sides:
Answer: x = 2 + 4 i or x = 2 - 4 i
