HW 8 - Complex Numbers OPENITEMSCOMPLEX NUMBER OPERATIONS - VIf we write the following complex number in standard form(v3+ v13i)(v3 – V13i) = a + bithenb =Your answers here have to be simplified so that they are just numbers.

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Answered: If we write the following complex…

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter8: Polar Coordinates And Parametric Equations

Section8.3: Polar Form Of Complex Numbers; De Moivre's Theorem

Problem 3E

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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.
Fractals Complex numbers are fundamental in the creation of the intricate geometric shape shown below, called a fractal. The process of creating this image is based on the following sequence of steps, which begins by picking any complex number, which we will call z. 1. Square z, and then add that result to z. 2. Square the result from step1, and then add it to z. 3. Square the result from step2, and then add it to z. If we begin with the complex number i, what is the result after performing steps 1, 2 and 3?
CONCEPTS A complex number z=a+bi has two parts: a is the ______ part, and b is the _______ part. T o graph a+bi, we graph the order pair (,) in the complex plane.

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If we write the following complex number in standard form (V3+ v13i)(V3 - V13i) = a + bi then