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6. Determine the number of pairs (a, b) of positive integers with a ≤ 100 and b ≤ 100 such that 324 x 22a+b3a+4b is a perfect fifth power.

6. Determine the number of pairs (a, b) of positive integers with a ≤ 100 and b ≤ 100 such that 324 x 22a+b3a+4b is a perfect fifth power.

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. Determine the number of pairs (a, b) of positive integers with a ≤ 100 and b ≤ 100 such that 324 x 22a+b3a+4b is a perfect fifth power.
Transcribed Image Text:6. Determine the number of pairs (a, b) of positive integers with a ≤ 100 and b ≤ 100 such that 324 x 22a+b3a+4b is a perfect fifth power.
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