Sessions

Here are some examples on how Maple can be used, not only to illustrate theorem 2 but also, to give the exact solutions of particular equations:

 

> solve(x^2 - x + 1 = 0);

> solve(x^3 + 8*x^2 + 15*x = 0);

 

> solve(x^3 + x^2 + x +1= 0);

 

> solve(x^5 +32 = 0);

 

Practice some more!