\(-x^2+x-\dfrac{1}{2}\)
\(=-\left(x^2-x+\dfrac{1}{2}\right)\)
\(=-\left(x^2-x+\dfrac{1}{4}+\dfrac{1}{4}\right)\)
\(=-\left(x-\dfrac{1}{2}\right)^2-\dfrac{1}{4}< 0\)
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