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set of equations

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Find the reals x,y,z satisfying the following equations:

 

1) x+y+z = 0

 

2) [math] x^3 + y^3 + z^3 = 3xyz[/math]

 

3) xy + yz + xz = [math]a^2[/math] when a=0 and when [math]a\neq 0[/math]

Now that we're in the proper forum,

 

You need to show some work before we can help you, triclino.

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