(b) 4x = 2 (mod n), n = 6 (c) 4x = 3 (mod n), n = 7

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Q9 b and c 

9.) Find all integers x, 0 < x <n, satisfying each of the fól-
lowing congruences mod n. If no such x exists, explain
why not.
(a) [BB] 3x = 4 (mod n), n = 6
(b) 4x = 2 (mod n), n = 6
%3D
%3D
(c) 4x = 3 (mod n), n =7
%3D
(d) 4x = 3 (mod n), n = 6
%3D
Transcribed Image Text:9.) Find all integers x, 0 < x <n, satisfying each of the fól- lowing congruences mod n. If no such x exists, explain why not. (a) [BB] 3x = 4 (mod n), n = 6 (b) 4x = 2 (mod n), n = 6 %3D %3D (c) 4x = 3 (mod n), n =7 %3D (d) 4x = 3 (mod n), n = 6 %3D
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