Given the quadratic equation:
The discriminant let say D, $$D=b^2-4ac$$
tell us that $(1)$ has the following 3 roots properties.
- $D>0$ has two distinct roots
- $D=0$ has a repeat root
- $D<0$ has not real roots
Given the cubic equation: $$ax^3+bx^2+cx+d=0\tag2$$
Does $(2)$ has a discriminant like the quadratic equation?