find all z in C that verify simultaneously:(adsbygoogle = window.adsbygoogle || []).push({});

[tex] |z|^2 + |z| - 2 = 0 [/tex]

[tex] z^8 + z^6 + z^4 + z^2 = 0[/tex]

Of the first equation I know that 1 is a root.

And I think i is a solution for the second one.

But I cant find a convincing solution.

EDIT: sorry I forgot the = 0

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# Homework Help: Find all z

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