Use this theorem to solve the following congruences: x1 = 13 mod 35
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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![Use this theorem to solve the following congruences:
x11 = 13 mod 35](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc0459f38-e3d0-4ded-82ec-0268e01c3797%2F018b612b-29bf-450c-acb9-03d451cbc710%2Flgxgfii_processed.png&w=3840&q=75)
Transcribed Image Text:Use this theorem to solve the following congruences:
x11 = 13 mod 35
![Theorem. If gcd(e, o(m)) = 1, then for any a e (Z/mZ)*,
х 3 а mod m
has a unique solution given by x = ad where d is the multiplicative inverse for e modulo o(m).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc0459f38-e3d0-4ded-82ec-0268e01c3797%2F018b612b-29bf-450c-acb9-03d451cbc710%2F3z7gkg_processed.png&w=3840&q=75)
Transcribed Image Text:Theorem. If gcd(e, o(m)) = 1, then for any a e (Z/mZ)*,
х 3 а mod m
has a unique solution given by x = ad where d is the multiplicative inverse for e modulo o(m).
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