Question

Select all the solutions to (x-2)^2=-16

Answer 1

x = 2 + 4 i or x = 2 - 4 i

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