Let w be a given complex number. In this problem, we aim to outline the procedure for finding all solutions z to the equation z = w. 23 (a) First of all, notice that z = 1 is one solution to the equation. separate your answers by semicolons. = 1. Find the other 2 solutions. Enter each of your response in the form a + bi, and 1; -1/2+sqrt(3)/2*i; -1/2-sqrt( a (b) Compute (-2+3 i)3. Enter your response in the form a + bi. 31+24*i 3 = w. Notice that your work from (b) shows that z =-2+3 i is one (c) Let w be the complex number you obtained from (b), and consider the equation of the solutions to this equation. Now find the other 2 solutions. Enter each of your response in the form a + bi, and separate your answers by semicolons.
Let w be a given complex number. In this problem, we aim to outline the procedure for finding all solutions z to the equation z = w. 23 (a) First of all, notice that z = 1 is one solution to the equation. separate your answers by semicolons. = 1. Find the other 2 solutions. Enter each of your response in the form a + bi, and 1; -1/2+sqrt(3)/2*i; -1/2-sqrt( a (b) Compute (-2+3 i)3. Enter your response in the form a + bi. 31+24*i 3 = w. Notice that your work from (b) shows that z =-2+3 i is one (c) Let w be the complex number you obtained from (b), and consider the equation of the solutions to this equation. Now find the other 2 solutions. Enter each of your response in the form a + bi, and separate your answers by semicolons.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Let w be a given complex number. In this problem, we aim to outline the procedure for finding all solutions z to the equation z3
= w.
(a) First of all, notice that z =1 is one solution to the equation
23
= 1. Find the other 2 solutions. Enter each of your response in the form a + bi, and
separate your answers by semicolons.
1; -1/2+sqrt(3)/2*i; -1/2-sqrt(
(b) Compute (-2+3 i)3. Enter your response in the form a + bi.
31+24*i
23
= w. Notice that your work from (b) shows that z =-2+ 3 i is one
(c) Let w be the complex number you obtained from (b), and consider the equation
of the solutions to this equation. Now find the other 2 solutions. Enter each of your response in the form a + bi, and separate your answers by semicolons.
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