Question

 | \(\dfrac{\chi}{4}\) +0,75|=\(\dfrac{5}{8}+2\cdot\dfrac{3}{18}\)

Answer 1

`|x/4+0,75|=5/8+2. 3/18`

`|x/4+3/4|=5/8+ 1/3`

`|x/4+3/4|=23/24`

`[(x/4+3/4=23/24),(x/4+3/4=-23\24):}`

`[(x/4=5/4),(x/4=-59/24):}`

`[(x=5),(x=-59/6):}`

Answer 2

`|x/4 + 0,75| = 5/8 + 2 . 3/18`

=`> |x/4 +3/4| = 5/8 + 1/3`

=>` |x/4 + 3/4| = 23/24`

Xét `x/4 + 3/4 = 23/24`

`=> x/4 = 5/24`

`=> x = 5/6`

Xét `x/4 + 3/4 = -23/24`

`=> x/4 = -41/24`

`=> x = -41/6`

Vậy `x = 5/6; -41/6`

(Chúc bạn học tốt)

 

Answer 3

-59/6

Answer 4

Ta có: \(\left|\dfrac{x}{4}+0.75\right|=\dfrac{5}{8}+2\cdot\dfrac{3}{18}\)

\(\Leftrightarrow\left|\dfrac{x+3}{4}\right|=\dfrac{5}{8}+\dfrac{1}{3}=\dfrac{23}{24}\)

\(\Leftrightarrow\left[{}\begin{matrix}\dfrac{x+3}{4}=\dfrac{23}{24}\\\dfrac{x+3}{4}=\dfrac{-23}{24}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x+3=\dfrac{92}{24}=\dfrac{23}{6}\\x+3=\dfrac{-23}{6}\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{5}{6}\\x=\dfrac{-41}{6}\end{matrix}\right.\)

Answer 5

\(\left|\dfrac{x}{4}+0,75\right|=\dfrac{5}{8}+2\cdot\dfrac{3}{18}\)

\(\left|\dfrac{x}{4}+\dfrac{3}{4}\right|=\dfrac{5}{8}+\dfrac{1}{3}\)

\(\left|\dfrac{x+3}{4}\right|=\dfrac{23}{24}\)

=>\(\dfrac{x+3}{4}=\dfrac{23}{24}\)

    \(x+3=\dfrac{23}{6}\)

   \(x=\dfrac{5}{6}\)

hoặc

  \(\dfrac{x+3}{4}=\dfrac{-23}{24}\)

 \(x+3=\dfrac{-23}{6}\)

  \(x=-\dfrac{41}{6}\)