Câu hỏi của Hoàng Văn Anh

Question

Tìm x biết

$\left|\dfrac{5}{3}-x\right|-\left|\dfrac{-5}{6}\right|=\left|\dfrac{-5}{9}\right|$

Lê Anh Duy · Accepted Answer

$\left|\dfrac{5}{3}-x\right|-\left|-\dfrac{5}{6}\right|=\left|-\dfrac{5}{9}\right|$

$\Leftrightarrow\left|\dfrac{5}{3}-x\right|-\dfrac{5}{6}=\dfrac{5}{9}$

$\Leftrightarrow\left|\dfrac{5}{3}-x\right|=\dfrac{5}{9}+\dfrac{5}{6}=\dfrac{25}{18}$

$\Rightarrow\left[{}\begin{matrix}\dfrac{5}{3}-x=\dfrac{25}{18}\\dfrac{5}{3}-x=-\dfrac{25}{18}\end{matrix}\right.$

$\Rightarrow\left[{}\begin{matrix}x=\dfrac{5}{18}\x=\dfrac{55}{18}\end{matrix}\right.$

Vậy....Câu trả lời: $\left|\dfrac{5}{3}-x\right|-\left|-\dfrac{5}{6}\right|=\left|-\dfrac{5}{9}\right|$

$\Leftrightarrow\left|\dfrac{5}{3}-x\right|-\dfrac{5}{6}=\dfrac{5}{9}$

$\Leftrightarrow\left|\dfrac{5}{3}-x\right|=\dfrac{5}{9}+\dfrac{5}{6}=\dfrac{25}{18}$

$\Rightarrow\left[{}\begin{matrix}\dfrac{5}{3}-x=\dfrac{25}{18}\\dfrac{5}{3}-x=-\dfrac{25}{18}\end{matrix}\right.$

$\Rightarrow\left[{}\begin{matrix}x=\dfrac{5}{18}\x=\dfrac{55}{18}\end{matrix}\right.$

Vậy....

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