(CAS) Symbolic vs Numeric Solver (Non CAS)

[rawi]

Hi Tim,

a very simple example:
In CAS solve(a*x^2+b*x+c=0,x) will deliver you the well known formulas:
{(-b+SQRT(-4*a*c+b))/(2*a), (-b-SQRT(-4*a*c+b^2))/(2*a)}.

But be aware that CAS is rather limited. If I type in solve(a*x^3+b*x^2+c*x+d=0,x) no solution is given despite a formula for the solution exists.