Respuesta :
Answer:
B
Step-by-step explanation:
Given
x² + 2x + 8 ( to find the solutions equate to zero )
x² + 2x + 8 = 0 ( subtract 8 from both sides )
x² + 2x = - 8
To solve we can use the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(1)x + 1 = - 8 + 1
(x + 1)² = - 7 ( take the square root of both sides )
x + 1 = ± [tex]\sqrt{-7}[/tex] = ± i [tex]\sqrt{7}[/tex]
Subtract 1 from both sides )
x = - 1 ± i [tex]\sqrt{7}[/tex]
