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KöMaL 2023 B5298

    Solve the following system of equations over the set of real numbers: y+yx2−2x=0,z+zy2−2y=0,x+xz2−2z=0.\begin{align*} y+yx^2-2x & =0,\\ z+zy^2-2y & =0,\\ x+xz^2-2z & =0. \end{align*}

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