- #1
Hoplite
- 51
- 0
Hi everybody, this is my first post here.
I got this question, but I don't know what it means:
Fix n ≥ 1. If the nth roots of 1 are w0, w1, w2, . . . , wn−1, show that they satisfy:
(z − w0)(z − w1)(z - w2) · · · (z − wn−1) = z^n − 1
(z and wn are all complex numbers)
What I don't understand is, what does it mean by "nth roots of 1"?
I think by "roots" it means polynomial roots, but what does it mean to have a root of a number in this context?
Any help would be appreciated.
I got this question, but I don't know what it means:
Fix n ≥ 1. If the nth roots of 1 are w0, w1, w2, . . . , wn−1, show that they satisfy:
(z − w0)(z − w1)(z - w2) · · · (z − wn−1) = z^n − 1
(z and wn are all complex numbers)
What I don't understand is, what does it mean by "nth roots of 1"?
I think by "roots" it means polynomial roots, but what does it mean to have a root of a number in this context?
Any help would be appreciated.