Prove that there are no integer solutions (x, y, z, w) to the equation x³ +y³ 3z²+9w² +3. =

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter7: Real And Complex Numbers
Section7.2: Complex Numbers And Quaternions
Problem 45E
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(2) Prove that there are no integer solutions (x, y, z, w) to the equation
x³ + y³ = 3z2 + 9w? + 3.
Transcribed Image Text:(2) Prove that there are no integer solutions (x, y, z, w) to the equation x³ + y³ = 3z2 + 9w? + 3.
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