Four Equations in Four Unknowns

Algebra Level 2

x+y+z+w=10x2+y2+z2+w2=30x3+y3+z3+w3=100xyzw=24\begin{aligned} x + y + z + w &= 10 \\ x^2 + y^2 + z^2 + w^2 &= 30 \\ x^3 + y^3 + z^3 + w^3 &= 100\\ xyzw &= 24 \end{aligned}

What is a solution of the system of equations above?

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