How do you find all the real and complex roots of z^5 =1?

Jan 9, 2016

Real :

${z}_{0} = 1$

Complex :

${z}_{1} = - {e}^{\frac{\pi i}{5}}$

${z}_{2} = {e}^{\frac{2 \pi i}{5}}$

${z}_{3} = - {e}^{\frac{3 \pi i}{5}}$

${z}_{4} = {e}^{\frac{4 \pi i}{5}}$