Answer:
x = -2 ±i sqrt(6)
Step-by-step explanation:
x^2 +4x+10 = 0
We will complete the square
Subtract 10 from each side
x^2+4x +10-10 = -10
x^2+4x= -10
b = 4
Take b/2 and then square it
4/2 = 2 2^2 = 4
Add 4 to each side
x^2+4x+4= -10+4
The left side is rewritten as (x+b/2)^2
(x+2)^2 = -6
Take the square root of each side
sqrt((x+2)^2) = sqrt (-6)
x+2 = ±i sqrt(6)
Subtract 2 from each side
x+2-2 = -2 ±i sqrt(6)
x = -2 ±i sqrt(6)
