Solving LINEAR DIOPHANTINE EQUATIONS with MODULAR ARITHMETIC Thinking Numerically

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Pensando Numéricamente

Published on Aug 2, 2021
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Hey number lovers! In this video we are going to apply the concepts of modular arithmetic to solve linear Diophantine equations, which are extremely common in number theory problems where the solutions we are looking for are only integers. Generally, Diophantine equations do not usually have a standardized method when solving them, but in particular those that are linear are always solved like this. 0:00 Introduction 1:07 Procedure 5:11 Example 8:41 Unsolvable cases 10:51 Final Any questions in the comments :) Don't forget to subscribe for more content! #equations #modulararithmetic #arithmetic #modules #mathematics #integers #numbertheory #diophantine

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