Đáp án:
`x\in{57/10;33/10}`
Trình bày lời giải:
`(1/3x-3/2)^2=4/25`
`=>(1/3x-3/2)^2=(+-2/5)^2`
TH`1`:
`1/3x-3/2=2/5`
`=>1/3x=2/5+3/2`
`=>1/3x=4/10+15/10`
`=>1/3x=19/10`
`=>x=19/10:1/3`
`=>x=19/10 . 3`
`=>x=57/10`
TH`2`:
`1/3x-3/2=-2/5`
`=>1/3x=-2/5+3/2`
`=>1/3x=-4/10+15/10`
`=>1/3x=11/10`
`=>x=11/10:1/3`
`=>x=11/10 . 3`
`=>x=33/10`
Vậy `x\in{57/10;33/10}`