Đáp án:
\(\text{$x=\dfrac{5}{2}$ hoặc $x=\dfrac{-3}{2}$}\)
Giải thích các bước giải:
\(\left |x-\dfrac{1}{2} \right |+\dfrac{1}{2}=2\dfrac{1}{2}\\ ⇔\left |x-\dfrac{1}{2} \right |+\dfrac{1}{2}=\dfrac{5}{2}\\ ⇔\left |x-\dfrac{1}{2} \right |=\dfrac{5}{2}-\dfrac{1}{2}\\ ⇔\left |x-\dfrac{1}{2} \right |=2\\ ⇔\left[ \begin{array}{l}x-\dfrac{1}{2}=2\\x-\dfrac{1}{2}=-2\end{array} \right.\\ ⇔\left[ \begin{array}{l}x=\dfrac{5}{2}\\x=\dfrac{-3}{2}\end{array} \right.\\ \text{Vậy $x=\dfrac{5}{2}$ hoặc $x=\dfrac{-3}{2}$}\)
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