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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Solution (?)

| Comment 3 of 18 |

According to linear programming and combinatorial optimization, the problem has no solution in the real domain.

I *THINK* the answer is 0 but I have no method with which to prove it.

Posted by Eric on 2004-07-01 10:22:52

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