Find all complex numbers z satisfying z³ = 27i and give your answer as a comma-separated list of values in the form a+bi. Use the square root symbol 'v' where needed to give an exact value for your answer. z= ???

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.6: De Moivre’s Theorem And Nth Roots Of Complex Numbers
Problem 11E
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Find all complex numbers z satisfying
z3 = 27 i
and give your answer as a comma-separated list of values in the form a+bi. Use the square root symbol 'V' where needed to give an exact value for your answer.
z = ???
Transcribed Image Text:Find all complex numbers z satisfying z3 = 27 i and give your answer as a comma-separated list of values in the form a+bi. Use the square root symbol 'V' where needed to give an exact value for your answer. z = ???
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