complex number question (1 Viewer)

[Durka224]

show that the roots of z^6 -z^3 +1 = 0 are amongst the roots of Z^9 +1 = 0.


i remember doing this before but cant remember what i did. i thought about getting sum/product of roots and just showing they are the same. is this correct? confirmation would be great, thanks

 

[Hermes1]

sums and differences of cubes is what u use.

 

[Durka224]

that rings a bell haha cheers

 

[jyu]

typo
z^3+1