Forgot password? New user? Sign up

Existing user? Log in

For a real number $k$, the cubic equation $\frac{1}{3}x^3-x=k$ has three distinct roots $\alpha, \beta$ and $\gamma$. If $m=\min_{k\in \mathbb{R}}(|\alpha|+|\beta|+|\gamma|),$ what is $m^2?$

Problem Loading...

Note Loading...

Set Loading...