Question

3/2 - giá trị tuyệt đối của 1/2 x - 1/3 =1/2

tìm x

Answer 1

1/2x - 1/3 = 1/2

=> 1/2x = 1/2 + 1/3 

=> 1/2x = 3/6 + 2/6

=> 1/2x = 5/6 

=> x = 5/6 : 1/2

=> x = 10/6 = 5/3

chúc bn hk tốt !

Answer 2

\(\frac{3}{2}-|\frac{1}{2}x-\frac{1}{3}|=\frac{1}{2}\)

\(\Leftrightarrow|\frac{1}{2}x-\frac{1}{3}|=1\)

\(\Leftrightarrow\orbr{\begin{cases}\frac{1}{2}x-\frac{1}{3}=1\\\frac{1}{2}x-\frac{1}{3}=-1\end{cases}\Leftrightarrow\orbr{\begin{cases}x=\frac{8}{3}\\x=\frac{-4}{3}\end{cases}}}\)

Vậy...

Answer 3

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

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

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

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

\(\Leftrightarrow\orbr{\begin{cases}\frac{1}{2}x-\frac{1}{3}=-1\\\frac{1}{2}x-\frac{1}{3}=1\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=-\frac{4}{3}\\x=\frac{8}{3}\end{cases}}\)

\(\Rightarrow\orbr{\begin{cases}x=-\frac{4}{3}\\x=\frac{8}{3}\end{cases}}\)

Answer 4

sorry , hóa ra mk ghi sai đề mà mk ko hiểu đề lắm