c) Hence solve 43x = 4 (mod 139). Remember to give your answer reduced modulo 139, that is, as an integer between 0 and 138 inclusive. X= d) Use the forwards and reverse extended Euclidean algorithm to help solve the congruence 141x = 3 (mod 768). Remember to give your answer reduced modulo 768, that is, as a subset of {0, 1, ..., 767}. X (mod 768). XE * (mod 139). b) Use the forwards and reverse Euclidean algorithm to help solve the congruence 43x 1 (mod 139). Remember to give your answer reduced modulo 139, that is, an integ between 0 and 138 inclusive. X = X (mod 139).

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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Question
c)
Hence solve 43x = 4 (mod 139).
Remember to give your answer reduced modulo 139, that is, as an integer between 0 and 138
inclusive.
XE
d)
Use the forwards and reverse extended Euclidean algorithm to help solve the congruence
141x 3 (mod 768).
Remember to give your answer reduced modulo 768, that is, as a subset of {0, 1, ..., 767}.
X (mod 768).
XE
* (mod 139).
b)
Use the forwards and reverse Euclidean algorithm to help solve the congruence
43x 1 (mod 139).
Remember to give your answer reduced modulo 139, that is, as an integer between 0 and 138
inclusive.
X =
(mod 139).
Transcribed Image Text:c) Hence solve 43x = 4 (mod 139). Remember to give your answer reduced modulo 139, that is, as an integer between 0 and 138 inclusive. XE d) Use the forwards and reverse extended Euclidean algorithm to help solve the congruence 141x 3 (mod 768). Remember to give your answer reduced modulo 768, that is, as a subset of {0, 1, ..., 767}. X (mod 768). XE * (mod 139). b) Use the forwards and reverse Euclidean algorithm to help solve the congruence 43x 1 (mod 139). Remember to give your answer reduced modulo 139, that is, as an integer between 0 and 138 inclusive. X = (mod 139).
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