Can you please show me step by step for this math that makes me undertandable. Q: Determine which of the following congruences have solutions, and find any solutions (between 0 and the modulus) by trial and error. (a) 4x ≡ 5 (mod 6). (b) 6x ≡ 3 (mod 9). (c) x 2 ≡ 2 (mod 4)
Can you please show me step by step for this math that makes me undertandable. Q: Determine which of the following congruences have solutions, and find any solutions (between 0 and the modulus) by trial and error. (a) 4x ≡ 5 (mod 6). (b) 6x ≡ 3 (mod 9). (c) x 2 ≡ 2 (mod 4)
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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Can you please show me step by step for this math that makes me undertandable.
Q: Determine which of the following congruences have solutions, and find any solutions (between 0 and the modulus) by trial and error.
(a) 4x ≡ 5 (mod 6).
(b) 6x ≡ 3 (mod 9).
(c) x 2 ≡ 2 (mod 4)
Solution : For all of these, just plug in all integers between 0 and the modulus to see which, if any, work. (a) No solutions. (b) x 2, x 5, x 8. (c) No solutions.For all of these, just plug in all integers between 0 and the modulus to see which, if any, work. (a) No solutions. (b) x 2, x 5, x 8. (c) No solutions.
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