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12 tháng 6 2017
\(\frac{x+1}{2x+1}=\frac{0,5x+2}{x+3}\)ĐKXĐ: \(x\ne-\frac{1}{2};x\ne-3\)
\(\Rightarrow\left(x+1\right)\left(x+3\right)=\left(2x+1\right)\left(0,5x+2\right)\)
\(\Leftrightarrow x^2+x+3x+3=x^2+0,5x+4x+2\)
\(\Leftrightarrow x^2+4x+3=x^2+4,5x+2\)
\(\Leftrightarrow x^2-x^2+4x-4,5x=2-3\)
\(\Leftrightarrow-0,5x=-1\)
\(\Leftrightarrow x=2\)
vậy x=2
13 tháng 5 2021
0,5x-\(\dfrac{2}{3}.\left(x-2\right)=\dfrac{1}{6}\)
\(\dfrac{1}{2}x-\dfrac{2}{3}x-\dfrac{4}{3}=\dfrac{1}{6}\)
\(x.\left(\dfrac{1}{2}+\dfrac{2}{3}\right)=\dfrac{1}{6}+\dfrac{4}{3}\)
\(x.\dfrac{7}{6}=\dfrac{3}{2}\)
\(x=\dfrac{3}{2}:\dfrac{7}{6}\)
\(x=\dfrac{9}{7}\)
TA
13 tháng 5 2021
`0,5x-2/3 .(x-2)=1/6`
`0,5x - 2/3 x + 4/3= 1/6`
` -1/6x = -7/6`
`x=7`
1 tháng 7 2023
a: =>3/2x=64/15
=>x=128/45
b: =>-1/6x=7/12
=>x=-7/2
c: =>11/2*x=1/2
=>x=1/2:11/2=1/11
2 tháng 7 2019
\(0,5x-75\%x=\left(\frac{1}{3}-1\right)^2\)
\(\Leftrightarrow\frac{1}{2}x-\frac{3}{4}x=\left(-\frac{2}{3}\right)^2\)
\(\Leftrightarrow-\frac{1}{4}x=\frac{4}{9}\)
\(\Leftrightarrow x=-\frac{16}{9}\)
2 tháng 7 2019
\(0,5x-75\%x=\left(\frac{1}{3}-1\right)^2\)
\(< =>\frac{1}{2}x-\frac{3}{4}x=\left(-\frac{2}{3}\right)^2\)
\(< =>-\frac{1}{4}x=\frac{4}{9}\)
\(=>x=\frac{-16}{9}\)
TT
12 tháng 9 2017
a.\(\dfrac{-4}{5}-\left(\dfrac{2}{3}x+1\dfrac{1}{4}\right)=\dfrac{2}{7}\)
\(\left(\dfrac{2}{3}x+1\dfrac{1}{4}\right)=\dfrac{-4}{5}-\dfrac{2}{7}=\dfrac{-38}{35}\)
\(\dfrac{2}{3}x=\dfrac{-38}{35}-1\dfrac{1}{4}\)
\(\dfrac{2}{3}x=\dfrac{-327}{140}\Rightarrow x=\dfrac{-327}{140}:\dfrac{2}{3}=\dfrac{-981}{280}\)
Vậy \(x=\dfrac{-981}{280}\)
b. \(\dfrac{5}{6}+\left(\dfrac{3}{4}-\dfrac{1}{2}:x\right)=\dfrac{-2}{3}\)
\(\left(\dfrac{3}{4}-\dfrac{1}{2}:x\right)=\dfrac{-2}{3}-\dfrac{5}{6}=\dfrac{-3}{2}\)
\(\dfrac{1}{2}:x=\dfrac{3}{4}-\dfrac{-3}{2}\)
\(\dfrac{1}{2}:x=\dfrac{9}{4}\Rightarrow x=\dfrac{1}{2}:\dfrac{9}{4}=\dfrac{2}{9}\)
Vậy \(x=\dfrac{2}{9}\)
c. \(\left(\dfrac{4}{5}x-1\dfrac{1}{3}\right):\dfrac{3}{4}=0,7\)
\(\left(\dfrac{4}{5}x-1\dfrac{1}{3}\right)=0,7.\dfrac{3}{4}=\dfrac{21}{40}\)
\(\dfrac{4}{5}x=\dfrac{21}{40}+1\dfrac{1}{3}=\dfrac{223}{120}\)
\(\Rightarrow x=\dfrac{223}{120}:\dfrac{4}{5}=\dfrac{223}{96}\)
Vậy \(x=\dfrac{223}{96}\)
d. \(\dfrac{5}{6}-\dfrac{3}{4}x=1\dfrac{1}{3}+0,5x\)
\(0,5x+\dfrac{3}{4}x=\dfrac{5}{6}-1\dfrac{1}{3}\)
\(\dfrac{5}{4}x=\dfrac{-1}{2}\Rightarrow x=\dfrac{-1}{2}:\dfrac{5}{4}=\dfrac{-2}{5}\)
Vậy \(x=\dfrac{-2}{5}\)
LB
0
NT
0
0,5x-2/3(x-1)=1/6
1/2x-(2/3x-2/3)=1/6
1/2x-2/3x+2/3=1/6
x.(1/2-2/3)=1/6-2/3
x.(-1/6)=-1/2
x.(-1/6)=-1/2
x=-1/2:(-1/6)
x=-1/2.(-6)
x=3
Vậy x=3
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