Đáp án:
`↓↓↓`
Giải thích các bước giải:
`a)2|1/2x-1/3|-3/2=1/4`
`2|1/2x-1/3|=1/4+3/2`
`2|1/2x-1/3|=7/4`
`|1/2x-1/3|=7/4:2`
`|1/2x-1/3|=7/8`
TH`1`
`1/2x-1/3=7/8`
`1/2x` `=7/8+1/3`
`1/2x` `=29/24`
`x` `=29/24:1/2`
`x` `=29/12`
TH`2`
`1/2x-1/3=-7/8`
`1/2x` `=-7/8+1/3`
`1/2x` `=-13/24`
`x` `=-13/24:1/2`
`x` `=-13/12`
`b)` `3/4+2|2x-2/3|=2`
`2|2x-2/3|=2-3/4`
`2|2x-2/3|=5/4`
`|2x-2/3|=5/4:2`
`|2x-2/3|=5/8`
Th`1`
`2x-2/3=5/8`
`2x` `=5/8+2/3`
`2x` `=31/24`
`x` `=31/24:2`
`x` `=31/48`
Th`2`
`2x-2/3=-5/8`
`2x` `=-5/8+2/3`
`2x` `=1/24`
`x` `=1/24:2`
`x` `=1/48`
`c)` `(3x-1)(1/2x+5)=0`
TH `1`
`→` `1/2x+5=0`
`1/2x` `=0-5`
`1/2x` `=-5`
`x` `=-5:1/2`
`x` `=-10`
`TH`2`
`3x-1=0`
`3x` `=0+1`
`3x` `=1`
`x` `=1:3`
`x` `=1/3`
`d)` `(2x+3/5)^{2}-9/25=0`
`(2x+3/5)^{2}=9/25`
`(2x+3/5)^{2}=(3/5)^{2}=9/25`
`→` `2x+3/5=3/5`
`2x` `=3/5-3/5`
`2x` `=0`
`x` `=0:2`
`x ` `=0`
`e)` `3(3x-1/2)^{3}+1/9=0`
`3(3x-1/2)^{3}=1/9`
`(3x-1/2)^{3}=1/9:3`
`(3x-1/2)^{3}=1/12`
`(3x-1/2)^{3}=(1/3)^{3}=1/12`
`→` `3x-1/2=1/3`
`3x` `=1/3+1/2`
`3x` `=5/6`
`x` `=5/6:3`
`x` `=5/18`
