Bài 4 : Tìm x , biết
$\frac{3x}{2.5}$+ $\frac{3x}{5.8}$ +$\frac{3x}{8.11}$+$\frac{3x}{11.14}$=$\frac{1}{21}$
Bài 4 : Tìm x , biết $\frac{3x}{2.5}$+ $\frac{3x}{5.8}$ +$\frac{3x}{8.11}$+$\frac{3x}{11.14}$=$\frac{1}{21}$
By Gabriella
By Gabriella
Bài 4 : Tìm x , biết
$\frac{3x}{2.5}$+ $\frac{3x}{5.8}$ +$\frac{3x}{8.11}$+$\frac{3x}{11.14}$=$\frac{1}{21}$
`(3x)/(2.5) + (3x)/(5.8) +(3x)/(8.11) + (3x)/(11.14) = 1/21`
`=> x . (3/(2.5) + 3/(5.8) + 3/(8.11) + 3/(11.14)) = 1/21`
`=> x . (1/2 – 1/5 + 1/5 – 1/8 + 1/8 – 1/11 + 1/11 – 1/14) = 1/21`
`=> x . (1/2 – 1/14) = 1/21`
`=> x . 3/7 = 1/21`
`=> x = 1/21 : 3/7`
`=> x = 1/9`
Vậy `x = 1/9`
Đáp án + Giải thích các bước giải:
`(3x)/2.5+(3x)/5.8+(3x)/8.11+(3x)/11.14=1/21`
`=>x(3/2.5+3/5.8+3/8.11+3/11.14)=1/21`
`=>x(1/2-1/5+1/5-1/8+1/8-1/11+1/11-1/14)=1/21`
`=>x(1/2-1/14)=1/21`
`=>x(7/14-1/14)=1/21`
`=>3/7x=1/21`
`=>x=1/21:3/7`
`=>x=1/21. 7/3`
`=>x=1/9`