Solve x2 + 8x + 22 = 0 by completing the square. Question 20 options:

A)

x = –4 + i√ 6 , x = –4 – i√ 6

B)

x = –4 + √ 14 , x = –4 – √ 14

C)

x = –4 + i√ 14 , x = –4 – i√ 14

D)

x = –4 + √ 6 , x = –4 – √ 6

A)

Step-by-step explanation:

the solution of a squared equation is

x = (-b ± sqrt(b² - 4ac)) / (2a)

in our case

a = 1

b = 8

c = 22

x = (-8 ± sqrt(64 - 88))/2 = (-8 ± sqrt(-24))/2 =

= (-8 ± sqrt(4×-6))/2 = (-8 ± 2×sqrt(-6))/2 =

= -4 ± sqrt(-6) = -4 ± i×sqrt(6)

it is a. 4.2 because 7.6-3.4 gets the remaining length of 4.2. i might be wrong but i am pretty sure this is the answer.