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# Find the solutions of the congruence 12 x2 + 25 x = 10 ISBN: 9780073383095 37

## Solution for problem 14E Chapter 4.4

Discrete Mathematics and Its Applications | 7th Edition

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Problem 14E Problem 14EFind the solutions of the congruence 12 x2 + 25 x = 10 (mod 11). [Hint: Show the congruence is equivalence to the congruence 12 x 2 + 25 x + 12 = 0 (mod 11). Factor the left-hand side of the congruence: show that a solution of the quadratic congruence is a solution of one of two different linear congruences.]
Step-by-Step 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:

Modular multiplicative inverse:

A modular multiplicative inverse of an integer a is an integer x such that the product ax is congruent to 1 with respect to the modulus m. This congruence is written as Step 3 of 4

Step 4 of 4

##### ISBN: 9780073383095

This full solution covers the following key subjects: congruence, show, solution, mod, left. This expansive textbook survival guide covers 101 chapters, and 4221 solutions. The full step-by-step solution to problem: 14E from chapter: 4.4 was answered by , our top Math solution expert on 06/21/17, 07:45AM. The answer to “Find the solutions of the congruence 12 x2 + 25 x = 10 (mod 11). [Hint: Show the congruence is equivalence to the congruence 12 x 2 + 25 x + 12 = 0 (mod 11). Factor the left-hand side of the congruence: show that a solution of the quadratic congruence is a solution of one of two different linear congruences.]” is broken down into a number of easy to follow steps, and 61 words. This textbook survival guide was created for the textbook: Discrete Mathematics and Its Applications, edition: 7. Since the solution to 14E from 4.4 chapter was answered, more than 273 students have viewed the full step-by-step answer. Discrete Mathematics and Its Applications was written by and is associated to the ISBN: 9780073383095.

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