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(b) Let a, b, n € Z, where n ≥ 2. If a² = 6² (mod n), then a = b (mod n).

(b) Let a, b, n € Z, where n ≥ 2. If a² = 6² (mod n), then a = b (mod n).

Advanced Engineering Mathematics
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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Decide whether each of the following statements is True or False. If True, write a proof; if False, provide a counter-example. 

(b) Let \( a, b, n \in \mathbb{Z} \), where \( n \geq 2 \). If \( a^2 \equiv b^2 \pmod{n} \), then \( a \equiv b \pmod{n} \).
Transcribed Image Text:(b) Let \( a, b, n \in \mathbb{Z} \), where \( n \geq 2 \). If \( a^2 \equiv b^2 \pmod{n} \), then \( a \equiv b \pmod{n} \).
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