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