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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).

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).

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.5: Congruence Of Integers
Problem 34E
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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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