Problems. 1. Which of the following Diophantine equations cannot be solved? (a) 6x + 51y = 22. (b) 33x + 14y = 115. (c) 14x + 35y = 93.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter8: Introduction To Functions
Section8.1: Equations In Two Variables
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Number Theory
Problems.
1. Which of the following Diophantine equations cannot be solved?
(a)
6x + 51y = 22.
(b)
33x + 14y = 115.
(c)
14x + 35y
= 93.
2. Determine all solutions in the integers of the following Diophantine equation:
24x + 138y = 18.
Transcribed Image Text:Number Theory Problems. 1. Which of the following Diophantine equations cannot be solved? (a) 6x + 51y = 22. (b) 33x + 14y = 115. (c) 14x + 35y = 93. 2. Determine all solutions in the integers of the following Diophantine equation: 24x + 138y = 18.
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