Question

|X-5/2|-1/2=9/2

Mn giúp mình với. Dấu / là phân số nha

Answer 1

\(\left|x-\dfrac{5}{2}\right|-\dfrac{1}{2}=\dfrac{9}{2}\)

\(\left|x-\dfrac{5}{2}\right|\)         \(=\dfrac{9}{2}+\dfrac{1}{2}=\dfrac{10}{2}=5\)

\(\text{Vậy }x-\dfrac{5}{2}=5\)

       \(x\)          \(=5+\dfrac{5}{2}=\dfrac{15}{2}\)

\(\text{hoặc }x-\dfrac{5}{2}=-5\)

         \(x\)        \(=\left(-5\right)+\dfrac{5}{2}=\dfrac{-5}{2}\)

\(\Rightarrow x\in\left\{\dfrac{15}{2};\left(\dfrac{-5}{2}\right)\right\}\)

Answer 2

\(\Leftrightarrow\left[{}\begin{matrix}x-\dfrac{5}{2}=5\\x-\dfrac{5}{2}=-5\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{15}{2}\\x=-\dfrac{5}{2}\end{matrix}\right.\)