Grade 11Algebra
If 1,w,w^2,......w^n-1 are nth roots of unity , then (1-w)(1-w^2).......(1-w^n-1) is equal to
2 Answers
Arun
Dear Sunny
Put x=1 on both the sides nowAns =3
– 1 =0So I can write3Basically 1,a1,a2......an-1 all these are the roots of this equation x
– 1 =0So I can write3Basically 1,a1,a2......an-1 all these are the roots of this equation xregards
Arun(askIITians forum expert)
Aaditya khosya
Let n=4 , then
1,w,w² are the complex root of unity
So (1-w)(1-w²)= 1-w-w²-w³
Now as we know that w³= 1
So in equation 1-w-w²-1= -w²-w = 1
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