n congruence classes mz reduce the eqiation am' = b, to the form x = c, either by finding convenient representation for a, and b, or by using the inverse of Then find a solution for this congruence directly or by replacing c: with its appropriate representative in Z/mZ. If there is no solution explain why. Here a, b *„( =x), c, E Z/mZ A) In Z/19Z, [2]:x² = [ 13] : B) In In Z/13Z. [371:x =-[61:

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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Z
reduce the eqiation a,x
2 = b
Am
2
In congruence classes
to the form x=c, either by finding convenient representation for a and b or by using the inverse of
m
"m
m
m²
Then find a solution for this congruence directly or by replacing c, : with its appropriate representative in Z/mZ. If there is no solution explain why. Here a,
=x), c, E Z/mZ:
Am
m m
m
(A) In Z/19Z,
[2]:x = [13]:
(B) In In Z/13Z, [37]·x =-[6]:
Transcribed Image Text:Z reduce the eqiation a,x 2 = b Am 2 In congruence classes to the form x=c, either by finding convenient representation for a and b or by using the inverse of m "m m m² Then find a solution for this congruence directly or by replacing c, : with its appropriate representative in Z/mZ. If there is no solution explain why. Here a, =x), c, E Z/mZ: Am m m m (A) In Z/19Z, [2]:x = [13]: (B) In In Z/13Z, [37]·x =-[6]:
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