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Fifth powers (Posted on 2013-01-06) Difficulty: 3 of 5
Given that n5 = 1335 + 1105 + 845 + 275.
Find that value of n using only pen and paper.

No Solution Yet Submitted by Danish Ahmed Khan    
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re(2): Assuming... | Comment 7 of 8 |
(In reply to re: Assuming... by Ady TZIDON)

1.  So the assumption n is an integer was correct.

No need to "assume"- the sum of integers is always an integer.

All that was known for certain was n^5 is an integer.  There's no guarantee in the equation that n is.


2. 133*(4)^1/5 < 4^1.5 < 200 is not clear how you get 200

This was a typo.  I realized 4^(1/5) is a little under 1.5 and 133*1.5 = 199.5

It should read

133*4^(1/5) < 133*1.5 < 200


  Posted by Jer on 2013-01-07 12:53:05
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