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- Feb 14, 2012

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$x+y+z=3$

$x^3+y^3+z^3=15$

$x^4+y^4+z^4=35$

has a real solution x, y, and z for which $x^2+y^2+z^2<10$, find the value of $x^5+y^5+z^5$ for that solution.

Hi all,

I found this problem very interesting and wanted to post it here as one of the challenging problem and I have solved it and am looking forward to seeing your method and solution too.

I will post my solution in a few days, so that everyone interested can have a chance to demonstrate how they would solve it.

Best regards,

anemone