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4.72. Prove that if a, b andc are nonzero integers such that a b, bc and ca, then at least two of a, b and c are equal. 4.73. Prove that if n is an odd integer then Sllm? (uL0?

4.72. Prove that if a, b andc are nonzero integers such that a b, bc and ca, then at least two of a, b and c are equal. 4.73. Prove that if n is an odd integer then Sllm? (uL0?

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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4.72

4.71. Let n E Z. Prove that 5|n² if and only if 5 n. 4.72. Prove that if a, b and c are nonzero integers such that a b, bc and ca, then at least two of a,b and c are equal. 4.73. Prove that if n is an odd integer, then 8 [n? + (n + 6)2 + 6|. 4.74. Prove that if n is an odd integer, then 8 (nº + 4n2 + 11). 4. 75 Let n m c Z Provo thet if
Transcribed Image Text:4.71. Let n E Z. Prove that 5|n² if and only if 5 n. 4.72. Prove that if a, b and c are nonzero integers such that a b, bc and ca, then at least two of a,b and c are equal. 4.73. Prove that if n is an odd integer, then 8 [n? + (n + 6)2 + 6|. 4.74. Prove that if n is an odd integer, then 8 (nº + 4n2 + 11). 4. 75 Let n m c Z Provo thet if
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