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37. Find in modulus-argument form and plot on the complex plane all the n-th roots of a for the following values of n and a: (a) n = 3 and a = 1 (c) n = 3 and a = -2 + 2i (b) n = 4 and a = 1 + i (d) n = 5 and a = i.

37. Find in modulus-argument form and plot on the complex plane all the n-th roots of a for the following values of n and a: (a) n = 3 and a = 1 (c) n = 3 and a = -2 + 2i (b) n = 4 and a = 1 + i (d) n = 5 and a = i.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 4E
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37. Find in modulus-argument form and plot on the complex plane all the n-th roots of a for the following values of n and a: (a) n = 3 and a = 1 (c) n = 3 and a = -2 + 2i (b) n = 4 and a = 1 + i (d) n = 5 and a = i.
Transcribed Image Text:37. Find in modulus-argument form and plot on the complex plane all the n-th roots of a for the following values of n and a: (a) n = 3 and a = 1 (c) n = 3 and a = -2 + 2i (b) n = 4 and a = 1 + i (d) n = 5 and a = i.
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