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USAMO 1973 Problem 4

  • Day 2
  • Answer

Find all complex numbers x,y,zx, y, z which satisfy x+y+z=x2+y2+z2=x3+y3+z3=3x+y+z=x^{2}+y^{2}+z^{2}=x^{3}+y^{3}+z^{3}=3.

Dataset text NuminaMath olympiads. Quoted with source.

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1,1,1

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