Is the following result consistent? Explain

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- May 2nd 2013, 09:23 AMSuvadipIs the following result consistent
Is the following result consistent? Explain

- May 2nd 2013, 09:54 AMPlatoRe: Is the following result consistent
- May 2nd 2013, 10:24 AMSuvadipRe: Is the following result consistent
- May 2nd 2013, 10:50 AMHallsofIvyRe: Is the following result consistent
Since it includes the information that "n= 6", I would interpret this as summing over 6 terms- and assume that the sums run from 1 to 6:

and

So the question is "do there exist 6 numbers, that sum to 25, whose squares sum to 64?"

That is 6 numbers determined by only two equations so it seems to me there ought to be many ways to do that. For example, if we choose to take , , and the equations reduce to or and or . Since so that . .

Was there a requirement that the numbers be integers?