Answer
$\frac{9\pm\sqrt {17}}{4}$
Work Step by Step
$f(x)=0 \longrightarrow 2x^2-9x+8=0 \longrightarrow x=\frac{9\pm\sqrt {9^2-4(2)(8)}}{2(2)}=\frac{9\pm\sqrt {17}}{4}$
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