3. Prove the following proposition: There is no binary quadratic form g(x, y) c = 5 (mod 7) that is equivalent to x² + 7y². ax² + bxy + cy² with

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter2: Equations And Inequalities
Section2.3: Quadratic Equations
Problem 46E
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3. Prove the following proposition:
There is no binary quadratic form g(x, y)
c = 5 (mod 7) that is equivalent to x² + 7y².
ax² + bxy + cy² with
Transcribed Image Text:3. Prove the following proposition: There is no binary quadratic form g(x, y) c = 5 (mod 7) that is equivalent to x² + 7y². ax² + bxy + cy² with
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