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PrecalculusChallengeSystems, Matrices, and Determinants

Systems, Matrices, and Determinants · Challenge problem

{x+y+z=2x2+y2+z2=6x3+y3+z3=8\begin{cases} x+y+z=2 \\ x^2+y^2+z^2=6 \\ x^3+y^3+z^3=8 \end{cases}   (find {x,y,z}\{x,y,z\}).