Answer
$\frac{4\pm 3\sqrt 2}{2}$
See graph.
Work Step by Step
Step 1. $-2x^2+8x+1=0 \longrightarrow x=\frac{-8\pm\sqrt {64-4(-2)}}{2(-2)}=\frac{4\pm 3\sqrt 2}{2}$
Step 2. See graph.
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