Go4Expert

Go4Expert (http://www.go4expert.com/)
-   $1 Daily Competition (http://www.go4expert.com/contests/daily-competition/)
-   -   Math Riddle | 17 Jul 2009 (http://www.go4expert.com/contests/math-riddle-17-jul-2009-t18592/)

shabbir 17Jul2009 21:47

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

rik625 18Jul2009 04:36

Re: Math Riddle | 17 Jul 2009
 
Hey...

x^2+y^2+z^2 =1

Im i right???

xpi0t0s 18Jul2009 05:42

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...

xpi0t0s 18Jul2009 06:15

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.

shabbir 18Jul2009 07:19

Re: Math Riddle | 17 Jul 2009
 
Quote:

Originally Posted by xpi0t0s (Post 52895)
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.

Yes that is the right Answer :D

I have the values of x,y,z as well if you want to.

naimish 18Jul2009 07:48

Re: Math Riddle | 17 Jul 2009
 
@ xpi0t0s, Congrs Buddy :)

SaswatPadhi 18Jul2009 12:56

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:

SaswatPadhi 18Jul2009 12:59

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

shabbir 18Jul2009 13:02

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

SaswatPadhi 18Jul2009 13:06

Re: Math Riddle | 17 Jul 2009
 
But 3^3 + (-2)^3 + (-1) ^3 = 27-8-1 = 18 ?? :crazy:

Further, 3^2 + (-2)^2 + (-1)^2 = 9 + 4 + 1 = 14 ?! :crazy:


All times are GMT +5.5. The time now is 04:44.