Diophantine equations | Number theory | Achievable AMC 10/12

AMC 10/12

Textbook

Introduction

1. Algebra

2. Geometry

3. Number theory

3.1 Divisibility

3.2 Modular arithmetic

3.3 Diophantine equations

4. Probability

5. Combinatorics

6. What's next?

3.3 Diophantine equations

Achievable AMC 10/12

3. Number theory

Diophantine equations

1 min read

Diophantine equations

This is a fancy phrase that means “equations where the only acceptable solutions are integers” (and the coefficients are also all integers).

The key thing to know here is simply that all the rules of modular arithmetic not only work here, but are super-duper helpful.

Sign up for free to take 4 quiz questions on this topic

All rights reserved ©2016 - 2025 Achievable, Inc.