LL

2|x|-|x+2|=2

H24
19 tháng 7 2023 lúc 21:58

`2|x|-|x+2|=2`

`@TH1: x < -2=>{(|x| = -x),(|x+2|=-x-2):}`

  `=>-2x-(-x-2)=2`

`<=>-2x+x+2=2`

`<=>x=0` (ko t/m)

`@TH2: -2 <= x < 0=>{(|x|=-x),(|x+2|=x+2):}`

   `=>-2x-(x+2)=2`

`<=>-3x-2=2`

`<=>x=-4/3` (t/m)

`@TH3: x >= 0=>{(|x|=x),(|x+2|=x+2):}`

   `=>2x-(x+2)=2`

`<=>2x-x-2=2`

`<=>x=4` (t/m)

Bình luận (1)