The correct option is B 3x2−12x+11=0
Let α & β be the roots.
Sum of roots, α+β=6+√33+6−√33 =123=4
Product of roots, αβ=6+√33×6−√33=62−(√3)29αβ=36−39=339=113
Required equation x2−(α+β)x+(αβ)=0 =x2−4x+113=0
Multiplying by 3
3x2−12x+11=0
∴ the required quadratic equation is 3x2−12x+11=0.