# What roots of #z^4+z^2+1 = 0# satisfy #abs(z) < 1# ?

##### 2 Answers

Mar 14, 2017

No root is in

#### Explanation:

Calling

then

but

May 21, 2017

None

#### Explanation:

Alternatively, note that:

#0 = (z^2-1)(z^4+z^2+1) = z^6-1#

So the roots are all