[Proof] Prove that the congruence (x² − 2)(x² – 19) (x² - 38) = 0 (mod p) has a solution for every prime p.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.4: Mathematical Induction
Problem 26E
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[Proof] Prove that the congruence
(x² − 2)(x² – 19) (x² - 38) = 0 (mod p)
has a solution for every prime p.
Transcribed Image Text:[Proof] Prove that the congruence (x² − 2)(x² – 19) (x² - 38) = 0 (mod p) has a solution for every prime p.
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