\frac{-5}{3}$ – | 2x-1| : $\frac{3}{5 }$ = -2

0 bình luận về “\frac{-5}{3}$ – | 2x-1| : $\frac{3}{5 }$ = -2”

1. Đáp án+Giải thích các bước giải:

    `-5/3-|2x-1|:3/5=-2`

   `\to -|2x-1|:3/5=-2+5/3`

   `\to -|2x-1|:3/5=-1/3`

   `\to -|2x-1|=-1/3.(3)/5`

   `\to -|2x-1|=-1/5`

   `\to |2x-1|=1/5`

   `\to 2x-1=+-1/5`

   TH 1:

   `2x-1=1/5`

   `\to 2x=1/5+1`

   `\to 2x=6/5`

   `\to x=6/5:2`

   `\to x=3/5`

   TH 2:

   `2x-1=-1/5`

   `\to 2x=-1/5+1`

   `\to 2x=4/5`

   `\to x=4/5:2`

   `\to x=2/5`

   Vậy `x\in\{3/5;2/5\}`

   Bình luận

2. Đáp án:

    tham khảo ≈ω

   Giải thích các bước giải:

   `-5/3-|2x-1|:3/5=-2`

   `-|2x-1|:3/5=-2+5/3`

   `-|2x-1|:3/5=-1/3`

   `-|2x-1|=-1/3.(3)/5`

   `|2x-1|=1/5`

   \(\left[ \begin{array}{l}2x-1 = \dfrac{1}{5}\\2x-1=\dfrac{-1}{5}\end{array} \right.\) 

   \(\left[ \begin{array}{l}2x = \dfrac{1}{5} +1\\2x=\dfrac{-1}{5}+1\end{array} \right.\) 

   \(\left[ \begin{array}{l}2x = \dfrac{6}{5} \\2x=\dfrac{4}{5}\end{array} \right.\) 

   \(\left[ \begin{array}{l}x = \dfrac{6}{5}:2 \\x=\dfrac{4}{5}:2\end{array} \right.\) 

   \(\left[ \begin{array}{l}x = \dfrac{3}{5} \\x=\dfrac{2}{5}\end{array} \right.\) 

   vậy `x\in{\frac{3}{5};\frac{2}{5}}`

   Bình luận