Đáp án:
`x=97.`
Giải thích các bước giải:
`2/(3.5)+2/(5.7)+2/(7.9)+.....+2/(x(x+2))=32/99(x ne 0,x ne -2)`
`=>1/3-1/5+1/5-1/7+1/7-1/9+......+1/x-1/(x+2)=32/99`
`=>1/3-1/(x+2)=32/99`
`=>(x+2)/(3(x+2))-3/(3(x+2))=32/99`
`=>(x+2-3)/(3(x+2))=32/99`
`=>(x-1)/(3(x+2))=32/99`
`=>(x-1)/(x+2)=32/33`
`=>32(x+2)=33(x-1)`
`=>32x+64=33x-33`
`=>33x-32x=64+33`
`=>x=97(tm)`
Vậy `x=97.`