Modular division can be performed by considering the related multiplication problem. For instance, if 5 ÷ 7 = x, then x · 7 = 5. Similarly, the quotient (5 ÷ 7) mod 8 is the solution to the congruence equation x · 7 ≡ 5 mod 8, which is 3. Find the given quotient. (8 ÷ 5) mod 9

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 90E
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Modular division can be performed by considering the related multiplication problem. For instance, if

5 ÷ 7 = x,

then

x · 7 = 5.

Similarly, the quotient

(5 ÷ 7) mod 8

is the solution to the congruence equation

x · 7 ≡ 5 mod 8,

which is 3. Find the given quotient.

(8 ÷ 5) mod 9
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