Question

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

Answer 1

Given

(x - 2)² = - 16 ( take the square root of both sides )

x - 2 = ±
`√(-16)` = ±
`√(16(-1))` = ± 4i ( add 2 to both sides )

x = 2 ± 4i

Thus

x = 2 + 4i → (d)

x = 2 - 4i → (g)