Determine whether or not each of the following congrunces has a solution. If it has, find all the solutions. (All of the moduli are primes.) (a) x² = -1 mod 19 (b) x²+x+1=0 mod 19 (c) x² = 2 mod 17 (d) x¹ = 1 mod 17
Determine whether or not each of the following congrunces has a solution. If it has, find all the solutions. (All of the moduli are primes.) (a) x² = -1 mod 19 (b) x²+x+1=0 mod 19 (c) x² = 2 mod 17 (d) x¹ = 1 mod 17
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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![4. Determine whether or not each of the following congrunces has a solution. If
it has, find all the solutions. (All of the moduli are primes.)
(a) x² = -1 mod 19
(b) x²
(c) x² = 2 mod 17
(d) x¹ = 1 mod 17
+x+1=0 mod 19](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe87a569b-7721-4104-9b29-fedcf0a2817b%2F7e24a61e-9d84-45a1-bddc-0da742de8c1a%2F35ozu9_processed.png&w=3840&q=75)
Transcribed Image Text:4. Determine whether or not each of the following congrunces has a solution. If
it has, find all the solutions. (All of the moduli are primes.)
(a) x² = -1 mod 19
(b) x²
(c) x² = 2 mod 17
(d) x¹ = 1 mod 17
+x+1=0 mod 19
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