76. DISCUSS - DISCOVER: Roots of Unity There are two square roots of 1, namely, 1 and -1. These are the solutions of x = 1. The fourth roots of I are the solutions of the equa- tion x = 1 or xr -1 0. How many fourth roots of 1 are there? Find them. The cube roots of 1 are the solutions of the equation x = 1 or x-1 0. How many cube roots of 1 are there? Find them. How would you find the sixth roots of 1? How many are there? Make a conjecture about the number of nth roots of 1.
76. DISCUSS - DISCOVER: Roots of Unity There are two square roots of 1, namely, 1 and -1. These are the solutions of x = 1. The fourth roots of I are the solutions of the equa- tion x = 1 or xr -1 0. How many fourth roots of 1 are there? Find them. The cube roots of 1 are the solutions of the equation x = 1 or x-1 0. How many cube roots of 1 are there? Find them. How would you find the sixth roots of 1? How many are there? Make a conjecture about the number of nth roots of 1.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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