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For all integers a and b, if 16 { (a² + b² + ab), then 4 { a or 4 / b.

For all integers a and b, if 16 { (a² + b² + ab), then 4 { a or 4 / b.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Use the method of proof using the contrapositive to prove the following statements:

 

{Note: the notation 6≡ means “is not congruent”.}

 

For all integers a and b, if 16 X (a² + b² + ab), then 4 { a or 4 | b.
Transcribed Image Text:For all integers a and b, if 16 X (a² + b² + ab), then 4 { a or 4 | b.
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