Solve using polar form $x^4-x^3+x^2-x+1=0$. This equation has to be solved in complex numbers using polar form. I tried grouping the power of x terms but it is not working. Any other idea of solving the equation?

Note that
\begin{align}
x^4-x^3+x^2-x+1=0 &\,\,\,\Longleftrightarrow\,\,\, (x^4-x^3+x^2-x+1)(x+1)=0 \quad\text{and}\quad x\ne -1 \\ &\,\,\,\Longleftrightarrow\,\,\, x^5+1=0 \quad\text{and}\quad x\ne -1.
\end{align}
Now, solve $x^5+1=0$ using polar form and of course exclude the solution $x=-1$.
