# An algebra problem by Aman Banka

Algebra Level 3

If $$f \left(x+\dfrac 1x\right)=x^2+ \dfrac 1{x^2}$$ for all $$x \in \mathbb{C}$$, then find $$f(x)$$ in $$\mathbb{C} \backslash \{ 0 \}$$.

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