Use the Division Algorithm to prove that (a) The square of any integer is either of the form 3k or 3k + 1. (b) 3m² - 1 is never a perfect square.
Use the Division Algorithm to prove that (a) The square of any integer is either of the form 3k or 3k + 1. (b) 3m² - 1 is never a perfect square.
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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I need both answers within 30-40 mins
Transcribed Image Text:Use the Division Algorithm to prove that
(a) The square of any integer is either of the form 3k or 3k + 1.
(b) 3m² - 1 is never a perfect square.
Attempt only if you can solve both
parts correctly in clear handwriting
otherwise skip or I'll downvote
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