1. Let a, b e Z. Prove that if a = 0 (mod 5) and b = 2 (mod 5), then a² + b² = 4 (mod 5).

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.3: Divisibility
Problem 20E: Let a,b,c and d be integers such that ab and cd. Prove that acbd.
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1. Let a, b € Z. Prove that if a = 0 (mod 5) and b = 2 (mod 5), then a? + b? = 4 (mod 5).
Transcribed Image Text:1. Let a, b € Z. Prove that if a = 0 (mod 5) and b = 2 (mod 5), then a? + b? = 4 (mod 5).
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