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 ->  Systems-of-equations -> 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 }}}      Log On


   



Question 184300: I need some tricks or tips about how to solve this system:
+x%2By%2Bz=2+
x%5E2%2By%5E2%2Bz%5E2=14
x%5E4%2By%5E4%2Bz%5E4=98+

Answer by stanbon(75887) About Me  (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
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Looking at the "squares" line
you might think x^2 = 9; y^2 = 4; z^2 = 1
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From there you can figure out the 1st and then the 3rd line.
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Cheers,
Stan H.