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