х₁*х₂= с/а
(-11/3)*45/10 =с/6
(-11*45)/(3*10) =(-33/2) = с/6
с= (-33/2)*6= -99
6х²+bx-99=0
6*(121/9) -11b/3 -99 =0
242/3 - 11b/3 -99 =0
242 - 11b - 297=0
-55 = 11b
b = -5
6x²-5x-99=0 b= -5 c= -99
D=25 +2376= 2401
x₁= (5+49)/12= 54/12= 4,5
x₂=(5-49)/12= -44/12 = -3 8/12 = -3 2/3 = -11/3