Answer
$\frac{-1\pm i\sqrt {2}}{2}$
See graph.
Work Step by Step
Step 1. $4x^2+4x+3=0 \Longrightarrow x=\frac{-4\pm\sqrt {16-4(4)(3)}}{2(4)}=\frac{-1\pm i\sqrt {2}}{2}$
Step 2. See graph.
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