[3] Find all complex solutions of the equation *-216i = 0.(You may use the nth roots of a complex number 0+2kn + i sink), k = 0,1,...,n – 1) 0+2kn z = ret® given by Wk = Vr (cos %3D n n

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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[3] Find all complex solutions of the equation x-216i = 0.(You may use the nth roots of a complex number
0+2kn
%3D
|
F (cos"
0+2kn
z = rel given by wk =
+i sin
"), k = 0,1,...,n-1)
%3D
%3D
|
n
Transcribed Image Text:[3] Find all complex solutions of the equation x-216i = 0.(You may use the nth roots of a complex number 0+2kn %3D | F (cos" 0+2kn z = rel given by wk = +i sin "), k = 0,1,...,n-1) %3D %3D | n
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