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Hello Jason.jm01 said:Hi,
Here's the question...
If p=a+b, q=aω+bω2, r=aω2+bω
Prove that: p3+q3+r3=3(a+b)
Thanks,
Jason
isn;t that only true if the question said z^3= 1 ??? thats why i was asking is there any parts before it like factors z^n= 1 ?Js^-1 said:Now 1+w+w<sup>2</sup> = 0
<sup></sup>
The complex 'n' th roots of unity are the solutions to z<sup>n</sup>=1.shanks27 said:isn;t that only true if the question said z^3= 1 ??? thats why i was asking is there any parts before it like factors z^n= 1 ?
yeh they are so for n=3 u were right in saying z^2 +z +1 will be 0, but it changes for each degrees of n basicall so that z^n -1 = (z-1) (z^n-1 +........+z+ 1)Js^-1 said:The complex 'n' th roots of unity are the solutions to z<sup>n</sup>=1.
Aren't they?