Answer
$$0.5 \pm 1.32 j .$$
Work Step by Step
For the equation $x^2 - x + 2= 0$ we use the quadratic formula as follows $$ x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a},
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a=1, \quad b=-1, \quad c=2 .$$ That is, $$ x=\frac{1 \pm \sqrt{1-8}}{2 }=\frac{1 \pm\sqrt 7j}{2 }= 0.5 \pm 1.32 j .$$
