> R:=x->6*(711/179)*(x^2-x)+2*(-231/179)*(6*x^3-9*x^2+2*x)-6*x;

                           8424  2   6264     2772  3
                 R := x -> ---- x  - ---- x - ---- x
                           179       179      179

> solve(R(x)=0,x);

                                1/2           1/2
                       117   291     117   291
                    0, --- + ------, --- - ------
                       77      77    77      77

> X[1]:=evalf(117/77-sqrt(9323931)/13783);

                         X[1] := 1.297938673

> X[2]:=evalf(117/77+sqrt(9323931)/13783);

                         X[2] := 1.741022365

> 
> 
