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Math 113 Homework 14 - Complex Roots and Equations - Prof. Louis A. Deaett, Assignments of Trigonometry

University of Wisconsin (UW) - MadisonTrigonometry
Prof. Louis A. Deaett

A math homework assignment from math 113, fall 2005. The assignment includes four complex math problems: finding complex 5th roots, 3rd roots, and solutions to equations. Students are required to express their answers in polar and rectangular forms, keeping exact values.

Typology: Assignments

Pre 2010

Uploaded on 09/02/2009

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Homework #14
Math 113 - Fall 2005
Not collected
1) Find all complex 5th roots of the number 32(cos 155◦+isin 155◦). Express your answer in polar form,
and keep exact values.
2) Find all complex 3rd roots of the number 5 −5i. Express your answer in rectangular form, and keep
exact values.
3) Find all complex solutions to the equation z3
−i= 0 and express them in rectangular form. Keep exact
values.
4) Find all complex solutions of z4+ 128 = 0 and express them in rectangular form. Keep exact values.
1

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Homework

Math 113 - Fall 2005

Not collected

  1. Find all complex 5th roots of the number 32(cos 155◦^ + i sin 155◦). Express your answer in polar form, and keep exact values.

  2. Find all complex 3rd roots of the number 5 − 5 i. Express your answer in rectangular form, and keep exact values.

  3. Find all complex solutions to the equation z^3 − i = 0 and express them in rectangular form. Keep exact values.

  4. Find all complex solutions of z^4 + 128 = 0 and express them in rectangular form. Keep exact values.