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Quaint Quintic Question (Posted on 2012-10-21) Difficulty: 3 of 5
If α = 5√(41+29√2) + 5√(41-29√2) is real, then show that α must be an integer. No calculators or computer programs allowed.

  Submitted by K Sengupta    
Rating: 3.3333 (3 votes)
Solution: (Hide)
The required value of α in conformity with the problem statement is 2.

For an explanation, refer to the solution submitted by Harry here.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionSolutionHarry2012-10-21 22:18:10
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