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Sum powers do not take five (Posted on 2011-06-30) Difficulty: 3 of 5
α and β are two roots of the equation x2 6x + 1 = 0

Prove that αn+ βn is an integer for every positive integer value of n, and it is not divisible by 5 for any positive integer value of n

No Solution Yet Submitted by K Sengupta    
Rating: 2.5000 (2 votes)

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  Subject Author Date
Possible solutionbroll2011-07-01 01:57:49
SolutionsolutionDej Mar2011-06-30 16:51:19
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