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) = 31 X₁ X₂+775234 (mod 98) X₂ 9 (X₂)²3 (mod 13) X₁² =4,9 (X4)²1 (mod 8) X₁ 1,3,5,7

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter0: A Review Of Basic Algebra
Section0.1: Sets Of Real Numbers
Problem 56E: Graph each subset of the real numbers on a number line: 0.7, 1.75, and 378
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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.
X₁-897 174 (mod 52)
X₁ = 31
X₂+775234 (mod 98)
X₂ = 9
(X₂)² = 3 (mod 13)
X3 4,9
(X4)2 = 1 (mod 8)
X₁ = 1,3,5,7
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. X₁-897 174 (mod 52) X₁ = 31 X₂+775234 (mod 98) X₂ = 9 (X₂)² = 3 (mod 13) X3 4,9 (X4)2 = 1 (mod 8) X₁ = 1,3,5,7
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