Use the method of direct proof to prove the following statement. If a is an integer and a^2 | a, then a ∈ {−1,0,1}

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 56RE
icon
Related questions
Question

Use the method of direct proof to prove the following statement.

If a is an integer and a^2 | a, then a ∈ {−1,0,1}

Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage