Consider the linear congruence 22 = 712 (mod 4366). If given that gcd(22, 4366) = 2, then answer the following questions. ... (a) How many solutions does the congruence have? (b) Simplify the congruence. Show your work. (c) Find a solution to the simplified congruence you found in (b). Show your steps. (d) Find the first two solutions.
Consider the linear congruence 22 = 712 (mod 4366). If given that gcd(22, 4366) = 2, then answer the following questions. ... (a) How many solutions does the congruence have? (b) Simplify the congruence. Show your work. (c) Find a solution to the simplified congruence you found in (b). Show your steps. (d) Find the first two solutions.
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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Transcribed Image Text:Consider the linear congruence 22 = 712 (mod 4366).
If given that ged(22, 4366) = 2, then answer the following questions.
...
(a) How many solutions does the congruence have?
(b) Simplify the congruence. Show your work.
(c) Find a solution to the simplified congruence you found in (b). Show your steps.
(d) Find the first two solutions.
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