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

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Answer 1 · 2016-01-09T20:01:09

Real :

$z_0 = 1$

Complex :

$z_1 = -e^((pii)/5)$

$z_2 = e^((2pii)/5)$

$z_3 = -e^((3pii)/5)$

$z_4 = e^((4pii)/5)$

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