Given the quadratic equation:


The discriminant let say D, $$D=b^2-4ac$$

tell us that $(1)$ has the following 3 roots properties.

  1. $D>0$ has two distinct roots
  2. $D=0$ has a repeat root
  3. $D<0$ 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?


Yes there are discriminants for the cubic equation too, which is given by cardano's formula for the solution to a general cubic equation. See here


Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy