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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Question

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.

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