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Inequality challenge (Posted on 2016-10-25) Difficulty: 4 of 5
Given two integers a and b such that:
I. a>b>1
ii. a+b divides ab+1
iii. a-b divides ab-1

Prove that a is less than b*sqrt(3).

No Solution Yet Submitted by Ady TZIDON    
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Comments: ( You must be logged in to post comments.)
  Subject Author Date
Some ThoughtsApproaching sqrt(3)Brian Smith2016-11-20 10:57:55
Solutionre(2): Thoughts...Hints...ProofBrian Smith2016-11-19 12:18:00
Hints/Tipsre: Thoughts...hints toward formal proofAdy TZIDON2016-11-17 17:14:36
ThoughtsBrian Smith2016-11-16 12:40:04
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