SOLUTION: I need some tricks or tips about how to solve this system: {{{ x+y+z=2 }}} {{{x^2+y^2+z^2=14}}} {{{x^4+y^4+z^4=98 }}}

Algebra.Com
Question 184300: I need some tricks or tips about how to solve this system:



Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
x+y+z=2
x^2+y^2+z^2=14
x^4+y^4+z^4=98
----------------
Looking at the "squares" line
you might think x^2 = 9; y^2 = 4; z^2 = 1
-------------------
From there you can figure out the 1st and then the 3rd line.
-----------
Cheers,
Stan H.

RELATED QUESTIONS

Solve the system for x, y and z: x+y+z=8 x-y+z=2... (answered by Alan3354,TigerAlgebra)
Solve the system: x + y + z = 4, 3x – y + z = 2, y – z =... (answered by ankor@dixie-net.com)
solve system of equation. x+2y+z=4 2x+y-z=-1... (answered by jim_thompson5910)
Solve {{{system(x+2*y-z = 5, 2*x-4*y+z = 0, 3*x+2*y+2*z = 3)}}} (answered by jim_thompson5910)
solve the system x-y+z=-4 x+2y-z=-2... (answered by Fombitz)
(.4*X)+(.4*Y)+(.2*Z)=70 Solve for... (answered by Alan3354)
Solve the system for x, y and z: x+y+z=7 2x+y-z=4... (answered by TigerAlgebra)
I need someone's help on this {{{ ((2*x*y^2*z^4)/(3*x*y*z^-1))^-2... (answered by xcentaur)
y/4+z/4=z/3+x/3=x/2+y/2... (answered by ikleyn)