Solve the following congruences. Make sure that the number you enter is ≥ 0 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 - 79 851 (mod 57) X₁ = X₂ + 693 385 (mod 94) X₂ = (X3)² = 9 (mod 13) X3 =

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 ≥ 0 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 - 79 = 851 (mod 57)
X₁ =
X₂ + 693 = 385 (mod 94)
X₂
=
(X3)² = 9 (mod 13)
X3 =
(X4)² = 1 (mod 8)
X₁
=
Transcribed Image Text:Solve the following congruences. Make sure that the number you enter is ≥ 0 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 - 79 = 851 (mod 57) X₁ = X₂ + 693 = 385 (mod 94) X₂ = (X3)² = 9 (mod 13) X3 = (X4)² = 1 (mod 8) X₁ =
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