Prove that for any integer a, 9/(a-3). |
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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Please help me prove this using the quotient theorem and division in to cases.
There is also a hint for this problem too
Transcribed Image Text:- Prove that for any integer a,
9(a²-3).
Transcribed Image Text:23. Hint: This statement is true. If a-3 = 9b, then
a
= 9b +3 = 3(3b+ 1), and so a² is divisible by 3.
Hence, by exercise 19(b), a is divisible by 3. Thus
a = (3c) for some integer c.
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