Question

[Linh]

tìm x :

|x-1/2|+3/4=|-1,6+3/5|

làm đầy đủ giùm rồi mk tick cho

Answer 1

[Minh Nguyen]

\(\left|x-\frac{1}{2}\right|+\frac{3}{4}=\left|-1,6+\frac{3}{5}\right|\)

\(\Leftrightarrow\left|x-\frac{1}{2}\right|+\frac{3}{4}=\left|-1\right|\)

\(\Leftrightarrow\left|x-\frac{1}{2}\right|+\frac{3}{4}=1\)

\(\Leftrightarrow\left|x-\frac{1}{2}\right|=\frac{1}{4}\)

\(\Leftrightarrow\orbr{\begin{cases}x-\frac{1}{2}=\frac{1}{4}\\x-\frac{1}{2}=-\frac{1}{4}\end{cases}}\)

\(\Leftrightarrow\orbr{\begin{cases}x=\frac{3}{4}\\x=\frac{1}{4}\end{cases}}\)

Vậy \(x\in\left\{\frac{3}{4};\frac{1}{4}\right\}\)