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# help

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A function f is defined by $$f(z) = (4 + i) z^2 + \alpha z + \gamma$$ for all complex numbers z, where a and $$\gamma$$ are complex numbers and i^2=-1. Suppose that f(1) and f(i) are both real. What is the smallest possible value of $$(| \alpha | + |\gamma |)^2$$

Oct 22, 2022