Find all solutions of the congruence 4x = q (med (1).
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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![**Problem Statement: Solving a Congruence Equation**
Find all solutions of the congruence:
\[ 4x \equiv 9 \pmod{11} \]
In this problem, we are asked to find the integer values of \( x \) that satisfy the equation, where the congruence is taken modulo 11. Understanding and solving such equations is fundamental in number theory, particularly in modular arithmetic.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F30761ad5-6d22-4ff4-adb6-4f166a7ab52a%2Fdeb8ae0d-1662-4335-bd7f-011e7db3de9d%2Fywpek11.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement: Solving a Congruence Equation**
Find all solutions of the congruence:
\[ 4x \equiv 9 \pmod{11} \]
In this problem, we are asked to find the integer values of \( x \) that satisfy the equation, where the congruence is taken modulo 11. Understanding and solving such equations is fundamental in number theory, particularly in modular arithmetic.
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