9. Prove that if n = 3 (mod 4), then the equation x² + y² = n has no integer solution.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.2: Properties Of Division
Problem 50E
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9. Prove that if n = 3 (mod 4), then the equation x² + y² = n has no integer
solution.
Transcribed Image Text:9. Prove that if n = 3 (mod 4), then the equation x² + y² = n has no integer solution.
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