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6. Using the division algorithm, show that every perfect square is of the form 4k or 4k + 1 for some nonnegative integer k. (#20, section 2.4 of our text)

6. Using the division algorithm, show that every perfect square is of the form 4k or 4k + 1 for some nonnegative integer k. (#20, section 2.4 of our text)

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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6. Using the division algorithm, show that every perfect square is of the form 4k or 4k + 1 for some nonnegative integer k. (#20, section 2.4 of our text)
Transcribed Image Text:6. Using the division algorithm, show that every perfect square is of the form 4k or 4k + 1 for some nonnegative integer k. (#20, section 2.4 of our text)
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