Given that the equation ${{z}^{3}}-4{{z}^{2}}+6z-4=0$ has a root $1-\mathbf{i}$, find the remaining

Question

Given that the equation ${{z}^{3}}-4{{z}^{2}}+6z-4=0$ has a root $1-\mathbf{i}$, find the remaining roots of the equation.

Accepted Answer

$z = 2$ and $z = 1 + \mathrm{i}$

Worked Example 2