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