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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe5d914b1-7ce6-481b-a69c-e2f4f31ee497%2F60cd74fa-2cd1-4d73-8b99-fd198dd75bf6%2Frd7n5p_processed.png&w=3840&q=75)
Transcribed Image Text: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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