Largest and smallest roots in a cubic equation How could I obtain the largest and smallest roots of this equation.

$$Y^3 - (1 - C_{1}) Y^2 + (A - C_{1} + C_{2}) Y - C_{2} = 0 $$

The three roots are real, positive, between $0$ and $1$.

I need to be sure they are the smallest and the largest in order to continue with really tedious work.

Any help wll be welcome. Thanks.
You can use the formula of Cardano for the roots of an equation.But before using you should make a substitution $y=x+\frac{1-C_{1}}{3}$.You will get an equation
$$x^3+px+q=0,$$ which can easy be dealed with in Maple,Mathematica,Matlab(choose one). There you can get the formula for the roots and minimize (maximize) them.
You can use the formula of Cardano for the roots of an equation.But before using you should make a substitution $y=x+\frac{1-C_{1}}{3}$.You will get an equation
$$x^3+px+q=0,$$ which can easy be dealed with in Maple,Mathematica,Matlab(choose one). There you can get the formula for the roots and minimize (maximize) them.