Three Equations, Five Powers

★ 6/10algebraPolynomials

Problem

Solve over the complex numbers:

{x+y+z=3,x2+y2+z2=3,x5+y5+z5=3.\begin{cases} x + y + z = 3, \\ x^2 + y^2 + z^2 = 3, \\ x^5 + y^5 + z^5 = 3. \end{cases}

Answer

Solution

Difficulty6/10
Topicsalgebra, Polynomials

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