Respuesta :

Answer:

  • Option D

Step-by-step explanation:

  • -(x+1)²- 4 = 0
  • (x+1)² =  - 4
  • x + 1 = ± √-4
  • x = -1 ± 2i

Correct choice is D

Answer:

D

Step-by-step explanation:

Given

- (x + 1)² - 4 = 0 ( add 4 to both sides )

- (x + 1)² = 4 ( multiply both sides by - 1 )

(x + 1)² = - 4 ( take the square root of both sides )

x + 1 = ± [tex]\sqrt{-4}[/tex] = ± 2i ( subtract 1 from both sides )

x = - 1 ± 2i , then

x = - 1 + 2i, x = - 1 - 2i → D