Question

Bài II (1,0 điểm) Tìm giá trị của  biết:

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

Answer 1

=>|x+2/3|=11/5

=>x+2/3=11/5 hoặc x+2/3=-11/5

=>x=23/15 hoặc x=-43/15

Answer 2

\(\left|x+\dfrac{2}{3}\right|-2=\dfrac{1}{5}\\ \left|x+\dfrac{2}{3}\right|=\dfrac{1}{5}+2\\ \left|x+\dfrac{2}{3}\right|=\dfrac{11}{5}\\ TH1:x+\dfrac{2}{3}=\dfrac{11}{5}\\ x=\dfrac{11}{5}-\dfrac{2}{3}\\ x=\dfrac{23}{15}\\ TH2:x+\dfrac{2}{3}=\dfrac{-11}{5}\\ x=\dfrac{-11}{5}-\dfrac{2}{3}\\ x=\dfrac{-43}{15}\)

Answer 3

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

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

`|x+2/3| = 11/5>0 `

 

TH1 : 

`x+ 2/3 = 11/5 `

`x         = 11/5 - 2/3 `

`x         = 23/15`

TH2 : 

`x+ 2/3 = -11/5 `

`x         = - 11/5 - 2/3 `

`x         = -43/15`

   Vậy ` x ∈ {  23/15 ,  -43/15 } `