Solve "Complex Number" equation problem: 2z^5 + z^4 - 6z^2 + z + 1 = 0

[eilia666]

HI
How can I solve this? It's a complex number equation: 2z^5 + z^4 - 6z^2 + z + 1 = 0

 

[pka]

How can I solve this? It's a complex number equation: 2z^5 + z^4 - 6z^2 + z + 1 = 0

No one can fault you for not posting any effort. I see no way to tackle this question.
Have a look at this approximate solution HERE.

 

[TheOAP]

Hi,
Synthetic Division (SD) doesn't help here.
I ran my program which has an "extension" to SD and
get the same results as Wolfram :

* No Rational roots found *
Irrational/repeating root(s) :
between
-0.334159630 and -0.334159629
0.531795935 and 0.531795936
1.151228054 and 1.151228055