Answer:
{-11, -1}
Step-by-step explanation:
x^2 +12x = -11
Take the coefficient of x
12
Divide by 2
12/2 =6
Then square it
6^2 = 36
Add this to both sides
x^2 +12x+36 = -11+36
(x+6)^2 = 25
Take the square root of each side
sqrt((x+6)^2) = ± sqrt(25)
x+6 = ± 5
Separate into two equations
x+6 = 5 x+6=-5
Subtract 6 from each side
x+5-6 = 5-6 x+6-6 = -5-6
x=-1 x=-11
