. (a) How many quadratic residues are in the residue set Z19? (b) Determine if 4 and 9 are quadratic residues mod 19. (c) Can you solve the congruence x² = 8 (mod 19) ?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter4: Polynomial And Rational Functions
Section4.2: Properties Of Division
Problem 50E
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. (a) How many quadratic residues are in the residue set Z₁9? (b)
Determine if 4 and 9 are quadratic residues mod 19. (c) Can you solve the congruence
x² = 8 (mod 19) ?
Transcribed Image Text:. (a) How many quadratic residues are in the residue set Z₁9? (b) Determine if 4 and 9 are quadratic residues mod 19. (c) Can you solve the congruence x² = 8 (mod 19) ?
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