5. Let n Your-Reg-ID (7 digits number) and = let 21, 22, 23,..., Zn be the (distinct) n-th roots of 1. Prove that Z1 + Z2 + + Zn = 0. Hint: 1+z+z²+...+z"-1=2 for any positive integer

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.2: Properties Of Division
Problem 50E
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5. Let n Your-Reg-ID (7 digits number) and
=
let Z1, Z2, Z3,..., Zn be the (distinct) n-th roots of 1.
Prove that
Hint: 1+z+ z² +
...
Z1 + Z₂ + ... + Zn = 0.
+z"-1=2
for any positive integer n.
Transcribed Image Text:5. Let n Your-Reg-ID (7 digits number) and = let Z1, Z2, Z3,..., Zn be the (distinct) n-th roots of 1. Prove that Hint: 1+z+ z² + ... Z1 + Z₂ + ... + Zn = 0. +z"-1=2 for any positive integer n.
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