8. (ii) (i) Find all solutions of the congruence x³ + 3x²9x+ 5 = 0 mod 7. Find all solutions of the congruence x³ + 3x²9x + 5 = 0 mod 49.
8. (ii) (i) Find all solutions of the congruence x³ + 3x²9x+ 5 = 0 mod 7. Find all solutions of the congruence x³ + 3x²9x + 5 = 0 mod 49.
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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[Solving congruences] How do you solve this question WITHOUT BRUTE FORCE? Short and typed answered preferred. Thanks!
Transcribed Image Text:8.
(ii)
(i) Find all solutions of the congruence
x³ + 3x² 9x + 50 mod 7.
Find all solutions of the congruence
x³ + 3x² - 9x + 5 = 0 mod 49.
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