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Textbooks / Math / Discrete Mathematics and Its Applications 7 / Chapter 4.4 / Problem 13E

Find the solutions of the congruence 15 x 2 + 19 x ? 5

Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen ISBN: 9780073383095 37

Solution for problem 13E Chapter 4.4

Discrete Mathematics and Its Applications | 7th Edition

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Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen

Discrete Mathematics and Its Applications | 7th Edition

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Problem 13E

Problem 13E

Find the solutions of the congruence 15 x 2 + 19 x ≡ 5 (mod 11). [Hint: Show the congruence is equivalent to the congruence 15 x2 + 19 x + 6 ≡ 0 (mod 11). Factor the left-hand side of the congruencc; show that a solution of the quadratic congruence is a solution of one of the two different linear congruences.]

Step-by-Step Solution:

Solution:

Step 1:

In this problem, we have to show that a solution of the quadratic congruence is a solution of one of the two different linear congruence.

Step 2 of 4

Chapter 4.4, Problem 13E is Solved
Step 3 of 4

Textbook: Discrete Mathematics and Its Applications
Edition: 7
Author: Kenneth Rosen
ISBN: 9780073383095

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