Finding roots of cubing equation Find all roots of the following polynomial:
$$x^3 + x^2 + 1$$

You can use the formulas of Cardano equation but not for sheep, because the form of the equation which is elected by the Cardano formulas is:
$$x^3+px+q=0$$
If the equation is of the form:
$$x^3+ax^2+bx+c=0$$
Your equation is the form of the above, therefore, by means of substitution $$x+\frac{a}{3}=y$$
acquired forms:
$$y^3+\alpha y +\delta=0$$
where 
$$\alpha=-3\left(\frac{a}{3}\right)^2+b; \beta=-\left(\frac{a}{3}\right)^3+c; \delta=-\alpha\frac{a}{3}+\beta$$
i.e
You should be solving the equation:
$$27y^3-9y+2=0$$
using formulas of Cardano
