Solve the following congruences. Make sure that the number you enter is 20 and ≤ N-1, where N is the modulus of the congruence. If there is more than one solution, enter the answer as a list separated by commas. X₁-897 174 (mod 52) X₁ =31 X₂+775234 (mod 98) = 72 X₂ (X₂)²3 (mod 13) X3 4,9 (X₁)²1 (mod 8) X₁ 1,3,5,7
Solve the following congruences. Make sure that the number you enter is 20 and ≤ N-1, where N is the modulus of the congruence. If there is more than one solution, enter the answer as a list separated by commas. X₁-897 174 (mod 52) X₁ =31 X₂+775234 (mod 98) = 72 X₂ (X₂)²3 (mod 13) X3 4,9 (X₁)²1 (mod 8) X₁ 1,3,5,7
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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![Solve the following congruences. Make sure that the number you enter is 20 and <N-1, where N is
the modulus of the congruence. If there is more than one solution, enter the answer as a list separated by commas.
X₁-897 174 (mod 52)
X₁
31
X₂+775234 (mod 98)
X₂ = 72
(X₂)²3 (mod 13)
X3 = 4,9
(X₁)²1 (mod 8)
X₁ = 1,3,5,7](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9d052c87-270c-45f0-8400-be0ac3e8daa5%2F29a20495-30fc-4f76-b5e8-8ab7b918fb41%2F4k25dg_processed.png&w=3840&q=75)
Transcribed Image Text:Solve the following congruences. Make sure that the number you enter is 20 and <N-1, where N is
the modulus of the congruence. If there is more than one solution, enter the answer as a list separated by commas.
X₁-897 174 (mod 52)
X₁
31
X₂+775234 (mod 98)
X₂ = 72
(X₂)²3 (mod 13)
X3 = 4,9
(X₁)²1 (mod 8)
X₁ = 1,3,5,7
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