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16 tháng 7 2018

a) 3x - 2 = 0    =>   3x = 2    => x = 2/3

b) 2x - 1 = 0     =>  2x = 1      =>  x = 1/2

c) 5 ( 4+2x) = 8+5x

<=> 20 + 10x = 8 + 5x

<=> 10x - 5x = 8 - 20

<=>  5x  =  -12

x = -12/5

d) \(\frac{1}{2}+\frac{3}{4}x=6-\frac{4}{5}x\)

\(\frac{3}{4}x+\frac{4}{5}x=6-\frac{1}{2}\)

\(\frac{31}{20}x=\frac{11}{2}\)

\(x=\frac{11}{2}:\frac{31}{20}=\frac{110}{31}\)

e) 3 + 2x = 4 - 8x

<=> 2x + 8x = 4 - 3

10 x = 1

x = 1/10

\(5+\frac{1}{2}\left(x+5\right)=3\)

\(\frac{1}{2}\left(x+5\right)=3-5=-2\)

\(x+5=-2:\frac{1}{2}=-4\)

\(x=-4-5=1\)

Vậy ......

16 tháng 7 2018

a, 3x - 2 = 0

=> 3x = 2

=> x = 2/3

vậy_

24 tháng 7 2017

d, \(=>\left(\frac{4}{5}\right)^{2x+7}=\left(\frac{4}{5}\right)^4.\)

=> \(2x+7=4\) 

=> 2x= -3

=> x=-3/2     . Vậy x=-3/2

e, => \(\frac{7^x.7^2+7^x.7+7^x}{57}=\frac{5^{2x}+5^{2x}.5+5^{2x}.5^2}{131}.\)

=> \(\frac{7^x\left(7^2+7+1\right)}{57}=\frac{5^{2x}\left(1+5+5^2\right)}{131}\)

= > \(\frac{7^x.57}{57}=\frac{5^{2x}.131}{131}\)

=> \(7^x=5^{2x}\)

Đến đoạn này là mik nghĩ không ra nhé

24 tháng 7 2017

Cô làm tiếp giúp Linh Đan:

\(7^x=5^{2x}\Rightarrow7^x=25^x\Rightarrow\frac{7^x}{25^x}=1\Rightarrow\left(\frac{7}{25}\right)^x=1\Rightarrow x=0\)

30 tháng 4 2019

c) \(\left(2x-3\right).\left(6-2x\right)=0\)

\(\Rightarrow\left[{}\begin{matrix}2x-3=0\\6-2x=0\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}2x=3\\2x=6\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}x=\frac{3}{2}\\x=3\end{matrix}\right.\)

Vậy \(x\in\left\{\frac{3}{2};3\right\}\)

e) \(2\left|\frac{1}{2}x-\frac{1}{3}\right|-\frac{3}{2}=\frac{1}{4}\)

\(\Leftrightarrow2\left|\frac{1}{2}x-\frac{1}{3}\right|=\frac{1}{4}+\frac{3}{2}=\frac{7}{4}\)

\(\Leftrightarrow\left|\frac{1}{2}x-\frac{1}{3}\right|=\frac{7}{4}:2=\frac{7}{4}.\frac{1}{2}=\frac{7}{8}\)

\(\Rightarrow\left[{}\begin{matrix}\frac{1}{2}x-\frac{1}{3}=\frac{7}{8}\\\frac{1}{2}x-\frac{1}{3}=\left(-\frac{7}{8}\right)\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}x=\frac{29}{12}\\x=\frac{-13}{12}\end{matrix}\right.\)

Vậy \(x\in\left\{\frac{29}{12};\frac{-13}{12}\right\}\)

30 tháng 4 2019

Mấy bài này ko quá khó, tải MathPhoto trong đt về nó tự lm

a) Ta có:

\(\frac{3}{x+2}=\frac{5}{2x+1}\)

\(\Rightarrow3\left(2x+1\right)=5\left(x+2\right)\)

\(\Rightarrow6x+3=5x+10\)

\(\Rightarrow6x-5x=10-3\)

\(\Rightarrow x=7\)

b)Ta có:

\(\frac{5}{8x-2}=\frac{-4}{7-x}\)

\(\Rightarrow5\left(7-x\right)=-4\left(8x-2\right)\)

\(\Rightarrow35-5x=-32x+8\)

\(\Rightarrow-5x+32x=8-35\)

\(\Rightarrow27x=-27\)

\(\Rightarrow x=-1\)

c) Ta có:

\(\frac{4}{3}=\frac{2x-1}{x}\)

\(\Rightarrow4x=3\left(2x-1\right)\)

\(\Rightarrow4x=6x-3\)

\(\Rightarrow3=6x-4x=2x\)

\(\Rightarrow x=\frac{3}{2}\)

d)Ta có:

\(\frac{2x-1}{3}=\frac{3x+1}{4}\)

\(\Rightarrow4\left(2x-1\right)=3\left(3x+1\right)\)

\(\Rightarrow8x-4=9x+3\)

\(\Rightarrow8x-9x=3+4\)

\(\Rightarrow-x=7\Rightarrow x=-7\)

e)Ta có:

\(\frac{4}{x+2}=\frac{7}{3x+1}\)

\(\Rightarrow4\left(3x+1\right)=7\left(x+2\right)\)

\(\Rightarrow12x+4=7x+14\)

\(\Rightarrow12x-7x=14-4\)

\(\Rightarrow5x=10\)

\(\Rightarrow x=2\)

f)Ta có:

\(\frac{-3}{x+1}=\frac{4}{2-2x}\)

\(\Rightarrow-3\left(2-2x\right)=4\left(x+1\right)\)

\(\Rightarrow-6+6x=4x+4\)

\(\Rightarrow6x-4x=4+6\)

\(\Rightarrow2x=10\)

\(\Rightarrow x=5\)

1 tháng 7 2019

\(a,\frac{1-2x}{8}=\frac{-4}{2\left(2x-1\right)}\)

\(\Rightarrow2\left(1-2x\right)\left(2x-1\right)=-32\)

\(\Rightarrow2\left(2x-1\right)\left(2x-1\right)=32\)

\(\Rightarrow\left(2x-1\right)^2=16\)

\(\Rightarrow\orbr{\begin{cases}2x-1=4\\2x-1=-4\end{cases}\Rightarrow\orbr{\begin{cases}2x=5\\2x=-3\end{cases}\Rightarrow}\orbr{\begin{cases}x=\frac{5}{2}\\x=-\frac{3}{2}\end{cases}}}\)

1 tháng 7 2019

\(b,\frac{-2}{x-1}=\frac{1-x}{\frac{8}{25}}\)

\(\Leftrightarrow(x-1)(1-x)=-\frac{16}{25}\)

\(\Leftrightarrow-(x-1)^2=-\frac{16}{25}\)

\(\Leftrightarrow-(x+1)^2=\left[-\frac{4}{5}\right]^2=\left[\frac{4}{5}\right]^2\)

\(\Leftrightarrow\orbr{\begin{cases}-x+1=-\frac{4}{5}\\-x+1=\frac{4}{5}\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=\frac{9}{5}\\x=\frac{1}{5}\end{cases}}\)

5 tháng 5 2016

\(\frac{-x}{2}+\frac{2x}{3}+\frac{x+1}{4}+\frac{2x+1}{6}=\frac{8}{3}\)  

\(\frac{2.-x}{4}+\frac{4x}{6}+\frac{x+1}{4}+\frac{2x+1}{6}=\frac{8}{3}\)   

\(\frac{-2x}{4}+\frac{4x}{6}+\frac{x+1}{4}+\frac{2x+1}{6}=\frac{8}{3}\) 

\(\frac{-2x+x+1}{4}+\frac{4x+2x+1}{6}=\frac{8}{3}\)  

\(\frac{-1x+1}{4}+\frac{6x+1}{6}=\frac{8}{3}\) 

\(\frac{3\left(-1x+1\right)}{3.4}+\frac{2\left(6x+1\right)}{2.6}=\frac{4.8}{4.3}\)  

\(\frac{-3x+3}{12}+\frac{12x+2}{12}=\frac{24}{12}\) 

\(\frac{-3x+3+12x+2}{12}=\frac{24}{12}\) 

\(\frac{9x+5}{12}=\frac{24}{12}\) 

=> 9x+5=24

=> 9x= 24-5

9x= 19

x= 19:9

x= \(\frac{19}{9}\)

vậy x= \(\frac{19}{9}\)