Answer
No real solutions
Work Step by Step
$-x^2+x-1=0$
$x^2-x+1=0$
$x^2-x+\frac{1}{4}=-1+\frac{1}{4}$
$(x-\frac{1}{2})^2=-\frac{3}{4}$
A square of a real value cannot be negative. Hence no real soultions.
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