Consider the linear congruence 27 = 105 (mod 4965). If given that gcd(27, 4965) = 3, 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. Use the editor to format your answer
Consider the linear congruence 27 = 105 (mod 4965). If given that gcd(27, 4965) = 3, 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. Use the editor to format your answer
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 27 = 105 (mod 4965).
If given that gcd(27, 4965) = 3, 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.
Use the editor to format your answer
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