Let A =[[x,y,z],[y,z,x],[z,x,y]] where x...

Let` A =[[x,y,z],[y,z,x],[z,x,y]]` where `x,y,` and `z` are real numbers such that `x+y+z>0` and `xyz=2`. If `A^2=I_3` then the value of `x^3+y^3+z^3` is

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