perplexus.info :: Just Math : Sum powers do not take five

Sum powers do not take five (Posted on 2011-06-30)

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

Submitted by K Sengupta

Rating: 3.3333 (3 votes)

Solution: (Hide)

Refer to the solution submitted by Brian Smith in this location.

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Subject	Author	Date
Another Solution	Brian Smith	2017-10-25 13:06:48
Possible solution	broll	2011-07-01 01:57:49
solution	Dej Mar	2011-06-30 16:51:19

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