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 * (1) * (-9) = 45
x1 = (-b + sqrt(D)) / (2*a)
x2 = (-b - sqrt(D)) / (2*a)
sum
___ ___ 3 3*\/ 5 3 3*\/ 5 - - + ------- + - - - ------- 2 2 2 2
=
-3
product
/ ___\ / ___\ | 3 3*\/ 5 | | 3 3*\/ 5 | |- - + -------|*|- - - -------| \ 2 2 / \ 2 2 /
=
-9
-9
___ 3 3*\/ 5 x1 = - - + ------- 2 2
___ 3 3*\/ 5 x2 = - - - ------- 2 2
x2 = -3*sqrt(5)/2 - 3/2