   Chapter 8.1, Problem 80ES Mathematical Excursions (MindTap C...

4th Edition
Richard N. Aufmann + 3 others
ISBN: 9781305965584

Solutions

Chapter
Section Mathematical Excursions (MindTap C...

4th Edition
Richard N. Aufmann + 3 others
ISBN: 9781305965584
Textbook Problem

Find all whole number solutions of the congruence equation. ( 5 x + 4 ) ≡ 2 mod 8

To determine

To calculate: To find all whole number solutions of the equation (5x+4)2mod8

Explanation

Given information: The equation (5x+4)2mod8 is given

Calculation:

Consider the following congruence equation (5x+4)2mod8

Begin with 0; substitute each whole number less than 8 into the congruence equation to get

x=05(0)+42mod8 not a solution x=15(1)+42mod8 not a solution x=25(2)+42mod8 not a solution x=35(3)+42mod8

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