How to express (200, 248) as a linear combination of 200, 248 by using the Euclidean Algorithm. Q2 Write three congruence classes modulo 3 and five congruence classes modulo 5. Q3. Solve the following congruences: a) 91 = 0(mod 13) b) -2 = 1 (mod 3) Solve the following linear congruences: a) 2x = 5(mod 7) b) 3x = 6(mod 9) c) 9x = 5 (mod 25) d) 7x = 22 (mod 31)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 38E
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How to express (200, 248) as a linear combination of 200, 248 by using the Euclidean Algorithm.
k)
Q2
Write three congruence classes modulo 3 and five congruence classes modulo 5.
Q3.
Solve the following congruences:
a) 91 = 0(mod 13)
b) -2 = 1(mod 3)
Solve the following linear congruences:
a) 2x = 5(mod 7)
b) 3x = 6(mod 9)
c) 9x = 5 (mod 25)
d) 7x = 22 (mod 31)
Transcribed Image Text:How to express (200, 248) as a linear combination of 200, 248 by using the Euclidean Algorithm. k) Q2 Write three congruence classes modulo 3 and five congruence classes modulo 5. Q3. Solve the following congruences: a) 91 = 0(mod 13) b) -2 = 1(mod 3) Solve the following linear congruences: a) 2x = 5(mod 7) b) 3x = 6(mod 9) c) 9x = 5 (mod 25) d) 7x = 22 (mod 31)
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