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