Problem 6. Let a be an integer. Show that if 3 | a² then 9 | a². Hint: Rule out the cases a = 3k+1 and a = 3k + 2.
Problem 6. Let a be an integer. Show that if 3 | a² then 9 | a². Hint: Rule out the cases a = 3k+1 and a = 3k + 2.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Problem 6. Let a be an integer. Show that if 3 | a 2 then 9 | a 2 . Hint: Rule out the cases a = 3k+1 and a = 3k + 2.
Transcribed Image Text:Problem 6. Let a be an integer. Show that if 3 | a² then 9 | a². Hint: Rule out the cases a = 3k+1
and a = 3k + 2.
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