perplexus.info :: Just Math : Summing powers

Summing powers (Posted on 2004-07-01)

I thought of three numbers.
Their sum is 6.
The sum of their squares is 8.
The sum of their cubes is 5.
What is the sum of their fourth powers?

See The Solution Submitted by Federico Kereki

Rating: 3.0000 (5 votes)

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John Lennon

| Comment 7 of 18 |

Imagine...
Imagine no solution
It's easy if you try
Nothing to put in spreadsheets
Above us, only Pi .....

Sorry, for the musical digression, but I'm thinking there may be a solution in the complex plane. Imaginary numbers: a + bi

Posted by Larry on 2004-07-04 00:54:23

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