Problem statement:
Problem statement:
Solve the system of equations?
$$\begin{cases}(x^2 - 6x + 13)y = 20 \\
(y^2 - 6y + 13)z = 20 \\
(z^2 - 6z + 13)x = 20 \end{cases}$$
0:00 Introduction
0:17 Cyclic system of equation
0:58 Trivial solution
1:24 Non-trivial solution
1:47 AoPS
2:12 The incorrect step
3:11 Conclusion
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