Discrete Math (a) Solve the congruence relation 3x + 5 ≡ 2(3 − 5x) (mod 35) for x. (b) If a ≡ b (mod n) and c ≡ d (mod n), show that ac ≡ bd (mod n). (c) Z∗ 39, the set of all the reduced residue classes modulo 39. (d) φ(39), where φ is the Euler φ-function.
Discrete Math (a) Solve the congruence relation 3x + 5 ≡ 2(3 − 5x) (mod 35) for x. (b) If a ≡ b (mod n) and c ≡ d (mod n), show that ac ≡ bd (mod n). (c) Z∗ 39, the set of all the reduced residue classes modulo 39. (d) φ(39), where φ is the Euler φ-function.
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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Discrete Math
(a) Solve the congruence relation 3x + 5 ≡ 2(3 − 5x) (mod 35) for x.
(b) If a ≡ b (mod n) and c ≡ d (mod n), show that ac ≡ bd (mod n).
(c) Z∗ 39, the set of all the reduced residue classes modulo 39.
(d) φ(39), where φ is the Euler φ-function.
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