The teacher will be very surprised to see your correct solution 😉
a*x^2 + b*x + c = 0
D = b^2 - 4 * a * c =
(-2)^2 - 4 * (1) * (4) = -12
x1 = (-b + sqrt(D)) / (2*a)
x2 = (-b - sqrt(D)) / (2*a)
sum
___ ___ 1 - I*\/ 3 + 1 + I*\/ 3
=
2
product
/ ___\ / ___\ \1 - I*\/ 3 /*\1 + I*\/ 3 /
=
4
4
___ x1 = 1 - I*\/ 3
___ x2 = 1 + I*\/ 3
x2 = 1 + sqrt(3)*i
x1 = 1.0 - 1.73205080756888*i
x2 = 1.0 + 1.73205080756888*i
x2 = 1.0 + 1.73205080756888*i