b) Let p≥ 3 be prime. Show that the only solutions to x² = 1 (mod p) are x = ±1 (mod p). Hint: Apply part a) to (x+1)(x−1)
b) Let p≥ 3 be prime. Show that the only solutions to x² = 1 (mod p) are x = ±1 (mod p). Hint: Apply part a) to (x+1)(x−1)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.5: The Binomial Theorem
Problem 16E
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