Solve each equation over the set of complex numbers, find the magnitudes of the solutions and draw them in the complex plane. Hint: For some of the equations, to get n roots you must use a'+b3=(a+b)(a²-ab+b²) and a3-b3-(a-b) (a²+ab+b?). x3+1=0

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter7: Real And Complex Numbers
Section7.3: De Moivre’s Theorem And Roots Of Complex Numbers
Problem 8E
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Solve each equation over the set of complex numbers, find the magnitudes of the
solutions and draw them in the complex plane. Hint: For some of the equations, to
get n roots you must use a'+b=(a+b)(a²-ab+b?) and a3-b33(a-b)
(a?+ab +b?).
x'+1=0
The solutions are : x =
The magnitude of the solutions is:
X =
Transcribed Image Text:Solve each equation over the set of complex numbers, find the magnitudes of the solutions and draw them in the complex plane. Hint: For some of the equations, to get n roots you must use a'+b=(a+b)(a²-ab+b?) and a3-b33(a-b) (a?+ab +b?). x'+1=0 The solutions are : x = The magnitude of the solutions is: X =
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