1. Find 245-¹ in Z/748 and write the answer as b where 0 < b < 748.
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:....
you w
duowers. In
particular, all steps of the Euclidean Algorithm and the Extended Euclidean Algorithm
used in Problems 1 & 2
1. Find 245-¹ in Z/748 and write the answer as b where 0 < b < 748.
2. Use the Extended Euclidean Algorithm to find d = ged(85, 210) and write d as an
integer combination of a = 85 and n = 210.
(i) Use this to solve the following linear congruence.
85x 115 (mod 210).
(ii) How many distinct solutions are there to
852 = 115
in Z/210? List all the solutions, writing each as a where 0 ≤ c < 210.
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