1/4 + 1/3 : (2x-1) = -5
Ai làm nhanh đúng mk cho 3 tk
K
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NV
1
KN
29 tháng 4 2019
g. \(\left(x+\frac{1}{2}\right)\left(\frac{2}{3}-2x\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x+\frac{1}{2}=0\\\frac{2}{3}-2x=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=\frac{-1}{2}\\x=\frac{1}{3}\end{cases}}\)
Vậy \(x\in\left\{\frac{-1}{2};\frac{1}{3}\right\}\)
KN
29 tháng 4 2019
f. \(\frac{2}{3}x-\frac{1}{2}x=\frac{5}{12}\)
\(\Leftrightarrow x\left(\frac{2}{3}-\frac{1}{2}\right)=\frac{5}{12}\)
\(\Leftrightarrow x\left(\frac{4}{6}-\frac{3}{6}\right)=\frac{5}{12}\)
\(\Leftrightarrow\frac{1}{6}x=\frac{5}{12}\)
\(\Leftrightarrow x=\frac{5}{12}\div\frac{1}{6}\)
\(\Leftrightarrow x=\frac{30}{12}=\frac{5}{2}\)
K
26 tháng 8 2018
\(\left(\frac{-3}{2x}+\frac{1}{4}\right):\frac{1}{6}=\frac{-3}{2}\)
\(\Rightarrow\frac{-3}{2x}+\frac{1}{4}=\frac{-3}{2}.\frac{1}{6}=-\frac{1}{4}\)
\(\Rightarrow\frac{-3}{2x}=-\frac{1}{4}-\frac{1}{4}=-\frac{1}{2}\)
\(\Rightarrow\frac{-3}{2x}=\frac{-3}{6}\)
\(\Rightarrow2x=6\)
\(\Rightarrow x=3\)
26 tháng 8 2018
(-3/2x + 0,25) : 1/6 = -3/2
=> -3/2x + 0,25 = -3/2 . 1/6
=> -3/2x + 0,25 = -1/4
=> -3/2x = -1/4 - 0,25
=> -3,2x = -1/2
=> x = -1/2 : (-3/2)
=> x = 1/3
28 tháng 4 2019
a) 2. |1/2-1/3| - 3/2 =1/4 b)3/4-2.|2x-3/2|=2
2.|1/2-1/3|=1/4+3/2 2|2x-3/2|=3/4-2
2.|1/2-1/3|=2/8+12/8 2|2x-3/2|=-5/4
2.|1/2x-1/3|=14/8 |2x-3/2|=-5/4:2
|1/2x-1/3|=14/8:2 |2x-3/2|=-5/8
1/2x-1/3=14/8.2/1 x-3/2=-5/8:2
1/2x-1/3=14/4 x-3/2=-5/16
x-1/3=14/4:1/2 x=-5/16+3/2
x-1/3=14/4.2 x=19/16
x-1/3=7 => x= 19/16 hoặc -19/16
x=7+1/3
x=21/3+1/3
x=22/3
=>x= 22/3 hoăc -22/3
c
TK
3
2 tháng 5 2017
\(\left(1+\frac{1}{1.3}\right).\left(1+\frac{1}{2.4}\right)......\left(1+\frac{1}{2016.2018}\right)\)
\(=\left(\frac{1.3}{1.3}+\frac{1}{1.3}\right).\left(\frac{2.4}{2.4}+\frac{1}{2.4}\right).....\left(\frac{2016.2018}{2016.2018}+\frac{1}{2016.2018}\right)\)
\(=\left(\frac{1.3+1}{1.3}\right).\left(\frac{2.4+1}{2.4}\right).....\left(\frac{2016.2018+1}{2016.2018}\right)\)
\(=\frac{4}{1.3}.\frac{9}{2.4}.....\frac{4068289}{2016.2018}=\frac{2^2}{1.3}.\frac{3^2}{2.4}....\frac{2017^2}{2016.2018}\)
\(=\frac{2^2.3^2.....2017^2}{1.3.2.4.....2016.2018}=\frac{2.2.3.3.4.4...2017.2017}{1.3.2.4.....2016.2018}=\frac{\left(2.3.4.....2017\right).\left(2.3.4..2017\right)}{\left(1.2....2016\right).\left(3.4....2018\right)}\)
\(=\frac{2017.2}{1.2018}=\frac{4034}{2018}\)
14 tháng 7 2018
1/2 : 0,5 - 1/4 : 0,25 - 1/8 - 0,125 : 1/10 - 0,1 = 1/2 : 1/2 - 1/4 : 1/4 - 1/8 - 1/8 : 1/10 - 1/10 .
= 1 - 1 - 1/8 - 1/10 : ( 1/8 - 1 ) .
= 0 - 1/8 - 1/10 : ( -7/8 ) .
= -7/8 - 1/10 : ( -7/8 ) .
= -7/8 : ( 1 - 1/10 ) .
= -7/8 : 9/10 .
= -7/8 . 10/9 .
= -35/36 .
1/4 + 1/3 : (2x - 1) = -5
=> 1/3 : (2x - 1) = -21/4
=> 2x - 1 = -63/4
=> 2x = -59/4
=> x = -59/8
\(\frac{1}{4}+\frac{1}{3}:\left(2x-1\right)=-5\)
\(\frac{1}{3}:\left(2x-1\right)=\left(-5\right)-\frac{1}{4}\)
\(\frac{1}{3}:\left(2x-1\right)=\frac{-21}{4}\)
\(2x-1=\frac{1}{3}:\frac{-21}{4}\)
\(2x-1=\frac{-4}{63}\)
\(2x=\frac{-4}{63}+1\)
\(2x=\frac{59}{63}\)
\(x=\frac{59}{63}:2\)
\(x=\frac{59}{126}\)