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

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Find all z

**Physics Forums | Science Articles, Homework Help, Discussion**