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) * (7) = -84
x1 = (-b + sqrt(D)) / (2*a)
x2 = (-b - sqrt(D)) / (2*a)
sum
____ ____ I*\/ 21 I*\/ 21 - -------- + -------- 3 3
=
0
product
____ ____ -I*\/ 21 I*\/ 21 ----------*-------- 3 3
=
7/3
7/3
____ -I*\/ 21 x1 = ---------- 3
____ I*\/ 21 x2 = -------- 3
x2 = sqrt(21)*i/3