Đáp án:
`(1/(1.2)+1/(2.3)+...+1/(99.100))-2x = 1/2`
`⇔ (1-1/2+1/2-1/3+1/3-1/4+...+1/99-1/100)-2x = 1/2`
`⇔ (1-1/100)+((-1)/2+1/2)+((-1)/3+1/3)+...+((-1)/99+1/99)-2x = 1/2`
`⇔ 99/100-2x = 1/2`
`⇔ 2x = 99/100 - 1/2`
`⇔ 2x = 49/100`
`⇔ x = 49/100 : 2`
`⇔ x = 49/200`
`(hoặc x = 0,245)`