Math Riddle  17 Jul 2009
A bit tricky and interesting as well
x+y+z=0 x^3+y^3+z^3=3 x^5+y^5+z^5=15 x^2+y^2+z^2=? ^ = Power of 
Re: Math Riddle  17 Jul 2009
Hey...
x^2+y^2+z^2 =1 Im i right??? 
Re: Math Riddle  17 Jul 2009
It'd better not be as simple as that...after several hours and sheets of paper I'm just about to give up on solving it with simultaneous equations...

Re: Math Riddle  17 Jul 2009
However that did give me a useful inequality...so I'm going to register a guess, that x^2+y^2+z^2 is an integer and is precisely 6. Just running another, more accurate, test but it'll take a while to produce results.

Re: Math Riddle  17 Jul 2009
Quote:
I have the values of x,y,z as well if you want to. 
Re: Math Riddle  17 Jul 2009
@ xpi0t0s, Congrs Buddy :)

Re: Math Riddle  17 Jul 2009
Of course X^2+y^2+z^2 can be real even if x, y, z are all complex. But, I'm just curious .. Do these equations have any real solutions ?? :crazy:

Re: Math Riddle  17 Jul 2009
I wonder why I keep getting 60 as the answer. :(

Re: Math Riddle  17 Jul 2009
The answer is 6 and X=3, y=2 and Z=1

Re: Math Riddle  17 Jul 2009
But 3^3 + (2)^3 + (1) ^3 = 2781 = 18 ?? :crazy:
Further, 3^2 + (2)^2 + (1)^2 = 9 + 4 + 1 = 14 ?! :crazy: 
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