| x : ( -5/6 ) - 3/4 | = 2

2 câu trả lời

     `|x :((-5)/6) - 3/4| = 2`

$$$$

`⇔` \(\left[ \begin{array}{l}x :\dfrac{-5}{6 }-\dfrac{3}{4} = 2 \\x :\dfrac{-5}{6 }-\dfrac{3}{4} = -2\end{array} \right.\)

$$$$

`⇔` \(\left[ \begin{array}{l}x : \dfrac{-5}{6} =\dfrac{11}{4} \\x :\dfrac{-5}{6} = \dfrac{-5}{4}\end{array} \right.\) 

$$$$

`⇔` \(\left[ \begin{array}{l}x=\dfrac{-55}{24}\\x=\dfrac{25}{24}\end{array} \right.\) 

 

   `|x÷(-5/6)-3/4|=2`

TH1:

`⇒ x÷(-5/6)-3/4=2`

`⇒ x÷(-5/6)=2+3/4`

`⇒ x÷(-5/6)=11/4`

`⇒ x=11/4.(-5/6)`

`⇒ x=-55/24`

TH2:

`⇒ x÷(-5/6)-3/4=-2`

`⇒ x÷(-5/6)=-2+3/4`

`⇒ x÷(-5/6)=-5/4`

`⇒ x=-5/4.(-5/6)`

`⇒ x=25/24`