The teacher will be very surprised to see your correct solution 😉
a*x^2 + b*x + c = 0
D = b^2 - 4 * a * c =
(3)^2 - 4 * (5) * (6) = -111
x1 = (-b + sqrt(D)) / (2*a)
x2 = (-b - sqrt(D)) / (2*a)
_____ 3 I*\/ 111 x1 = - -- - --------- 10 10
_____ 3 I*\/ 111 x2 = - -- + --------- 10 10
sum
_____ _____ 3 I*\/ 111 3 I*\/ 111 0 + - -- - --------- + - -- + --------- 10 10 10 10
=
-3/5
product
/ _____\ / _____\ | 3 I*\/ 111 | | 3 I*\/ 111 | 1*|- -- - ---------|*|- -- + ---------| \ 10 10 / \ 10 10 /
=
6/5
6/5
x1 = -0.3 - 1.05356537528527*i
x2 = -0.3 + 1.05356537528527*i
x2 = -0.3 + 1.05356537528527*i