that for every complex number z for any positive integer n, (z − 2)" is either a pur umber or a pure imaginary number (in other words, either the real part is 0 or the imaginary p

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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Show that for every complex number z and for any positive integer n, (z-z)" is either a pure real
number or a pure imaginary number (in other words, either the real part is 0 or the imaginary part is
0). (The number 0 can be considered as both purely real and purely imaginary.)
Transcribed Image Text:Show that for every complex number z and for any positive integer n, (z-z)" is either a pure real number or a pure imaginary number (in other words, either the real part is 0 or the imaginary part is 0). (The number 0 can be considered as both purely real and purely imaginary.)
Expert Solution
Step 1

Note: Since you have not provided a language name to write the code so I am using java language to write the code. 

Program Approach:

 

1- Create a class name as Main. 
2- Inside the class name, define a function as realAndImagFunction with one string parameter.
3- length() function used to find the size of the string value.
4- indexOf() method used to check the + symbol. If the number is Imaginary or not. 
5- System.out.println() is used to display real numbers and imaginary numbers on the screen.
6- Now define the main method, inside the main method create a string type variable. 
7- For example:
String number = "8+2i";
8- Call the method and start the process and display the output on the screen.
9- Please check the following complete example and output screenshot.

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