Answer
$\frac{-2\pm i\sqrt {6}}{2}$
Work Step by Step
Let $f(x)=0$, we have $2x^2+4x+5=0\Longrightarrow x=\frac{-4\pm\sqrt {4^2-4(2)(5)}}{2(2)}=\frac{-2\pm i\sqrt {6}}{2}$
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