If only it were as easy as 1, 2, 3

Algebra Level 3

If \(z\) is a complex number satisfying the equation

\[z+\frac{1}{z}=z^2+\frac{1}{z^2}<0,\]

what is the value of \(z^3+\frac{1}{z^3}\)?

×

Problem Loading...

Note Loading...

Set Loading...