Find all complex numbers z satisfying 4 = -8-8 3i 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= ???

Find all complex numbers z satisfying 4 = -8-8 3i 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 4E

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Question

Find all complex numbers z satisfying
A = -8-8 3i
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= ???
SUB

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As was mentioned in the introduction to this chapter, Jerome Cardan (Girolamo Cardano) was unable to solve certain equations because he did not know how to interpret the square root of a negative number. His work set the stage for thc arrival of complex numbers Research the history of complex numbers. How were the works of Rafael Bombelli, Jean Robert Argand, Lconhard Euler, and Abraham de Moivre significant in the development of complex numbers? Write a paragraph or to about your findings.

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