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Proposihon The cengenunce an=b(modn) has a nduthion ff c@ n Paroof : det d=(n,a). If nEZ Ù o Doleton g then n| cat-b) Since alng dlcan-b) Since dla d aloo divides b. Caonvenely, auppose dlb. by definhan dla s aln. so d 27 = (mod 4) d blomnad ) ano = Requent daufy the masked berhon.

Proposihon The cengenunce an=b(modn) has a nduthion ff c@ n Paroof : det d=(n,a). If nEZ Ù o Doleton g then n| cat-b) Since alng dlcan-b) Since dla d aloo divides b. Caonvenely, auppose dlb. by definhan dla s aln. so d 27 = (mod 4) d blomnad ) ano = Requent daufy the masked berhon.

Advanced Engineering Mathematics
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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Probosition The congeence re an=b (modn) Jkas a sdluhan if am)b Parbot : det d=(n,a). If REZ Ù o nolution , then n/ can-b) Saince alng dlcan-6) Bince da d aloo divides b. Convrely, suppose dlb. by defiwhan dla a dln. so b (mod 1) ? 97= (mod 4) d ano = blmod n) Request clavty the marked þertion.
Transcribed Image Text:Probosition The congeence re an=b (modn) Jkas a sdluhan if am)b Parbot : det d=(n,a). If REZ Ù o nolution , then n/ can-b) Saince alng dlcan-6) Bince da d aloo divides b. Convrely, suppose dlb. by defiwhan dla a dln. so b (mod 1) ? 97= (mod 4) d ano = blmod n) Request clavty the marked þertion.
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