\(\dfrac{3}{5}5x.8\dfrac{6}{45}=3x+5x\)

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6 tháng 5 2018

\(\dfrac{1}{7}=\dfrac{8}{-x}\)=> \(-x=56\)

=> \(x=56\)

2) => 18x = 18

=> x = 1

3) \(\dfrac{-4}{3}+x=\dfrac{-11}{6}\)

=> \(x=\dfrac{-11}{6}+\dfrac{4}{3}\)

=> \(x=\dfrac{-1}{2}\)

4) 45%.x =\(\dfrac{3}{5}\)

=> \(x=\dfrac{3}{5}:\dfrac{9}{20}\)

=> \(x=\dfrac{4}{3}\)

6 tháng 7 2018

\(2.\left(\dfrac{3}{4}-5x\right)=\dfrac{4}{5}-3x\)

= \(2.\dfrac{3}{4}-2.5x=\dfrac{4}{5}-3x\)

= \(\dfrac{3}{2}-10x=\dfrac{4}{5}-3x\)

= \(\dfrac{3}{2}-\dfrac{4}{5}=10x-3x\)

\(\dfrac{7}{10}\) = 7x

\(\dfrac{7}{10}:7=x\)

\(\dfrac{1}{10}=x\)

AH
Akai Haruma
Giáo viên
15 tháng 8 2018

Lời giải:

a) \((5x-1)^6=729=3^6=(-3)^6\)

\(\Rightarrow \left[\begin{matrix} 5x-1=3\\ 5x-1=-3\end{matrix}\right.\Rightarrow \left[\begin{matrix} x=\frac{4}{5}\\ x=\frac{-2}{5}\end{matrix}\right.\)

b)

\(\frac{8}{25}=\frac{2^x}{5^{x-1}}=\frac{2^x}{5^x:5}=5.(\frac{2}{5})^x\)

\(\Rightarrow \frac{8}{125}=(\frac{2}{5})^x\)

\(\Rightarrow (\frac{2}{5})^3=(\frac{2}{5})^x\Rightarrow x=3\)

c)

\((\frac{1}{16})^x=(\frac{1}{2})^{10}\)

\(\Rightarrow (\frac{1}{2^4})^x=(\frac{1}{2})^{10}\)

\(\Rightarrow (\frac{1}{2})^{4x}=(\frac{1}{2})^{10}\Rightarrow 4x=10\Rightarrow x=\frac{5}{2}\)

d)

\(9^{x}:3^x=3\Rightarrow (\frac{9}{3})^x=3\)

\(\Rightarrow 3^x=3^1\Rightarrow x=1\)

24 tháng 4 2017

\(\dfrac{1}{2}\left(6x-5\right)-5x=\dfrac{8}{5}\)

<=> \(3x-\dfrac{5}{2}-5x=\dfrac{8}{5}\)

<=>\(-2x=\dfrac{41}{10}\)

<=>x=\(\dfrac{-41}{20}\)

27 tháng 7 2017

a) \(\frac{3-2x}{5}=\frac{2}{7}\)

\(\Rightarrow7.\left(3-2x\right)=2.5\)

\(\Rightarrow21-14x=10\)

\(\Rightarrow14x=11\)

\(\Rightarrow x=\frac{11}{14}\)

27 tháng 7 2017

b) ( 5x - 6 ) : 7 = \(4\frac{1}{2}+0,25\%\)

( 5x - 6 ) : 7 = \(\frac{19}{4}\)

5x - 6 = \(\frac{19}{4}\). 7

5x - 6 = \(\frac{133}{4}\)

5x = \(\frac{133}{4}\)+ 6

5x = \(\frac{157}{4}\)

x = \(\frac{157}{4}\): 5

x = \(\frac{157}{20}\)

16 tháng 5 2018

bạn có nhầm đề bài ko???????????????

bucminhbucminhbucminhbucminh

16 tháng 5 2018

ko

27 tháng 7 2017

Các bạn ơi,mình ghi thiếu,còn 3 câu nữa nha!!!~~nya

e)| \(\dfrac{5}{2}\)x-\(\dfrac{1}{2}\) |-(-22).\(\dfrac{1}{3}\)(0,75-\(\dfrac{1}{7}\))=\(\dfrac{-5}{13}\):2\(\dfrac{9}{13}\)-0,5.(\(\dfrac{-2}{3}\))

f)| 5x+21 | = | 2x -63 |

g) -45 - |-3x-96 | - 54=-207

Làm ơn giúp mình với ạ!Mình đang cần gấp lắm trong ngày hôm nay ạ!!!Mình xin cảm ơn các bạn nhiều nhiều lắm luôn đó!!!Thank you very much!!!(^-^)

1 tháng 8 2017

a, (\(\dfrac{2}{9}\)(6x - \(\dfrac{3}{4}\)) - 3(\(\dfrac{1}{4}x-\dfrac{1}{5}\)) = \(\dfrac{-8}{15}\)

<=> (\(\dfrac{4}{3}x-\dfrac{1}{6}\)) - (\(\dfrac{3}{4}x-\dfrac{3}{5}\)) = \(\dfrac{-8}{15}\)

<=> \(\dfrac{4}{3}x-\dfrac{1}{6}-\dfrac{3}{4}x+\dfrac{3}{5}=\dfrac{-8}{15}\)

<=> \(\dfrac{7}{12}x+\dfrac{13}{30}=\dfrac{-8}{15}\)

<=> \(\dfrac{7}{12}x=\dfrac{-8}{15}-\dfrac{13}{30}\)

<=> \(\dfrac{7}{12}x=-\dfrac{29}{30}\)

<=> x = \(-\dfrac{58}{35}\)
@Nguyễn Gia Hân

a: \(\Leftrightarrow\dfrac{2}{3}x-\dfrac{5}{6}=\dfrac{-3}{2}x+\dfrac{3}{4}\)

=>13/6x=3/4+5/6

=>13/6x=9/12+10/12=19/12

hay x=19/26

b: \(\left(5x-3\right)\left(2x+5\right)=0\)

=>5x-3=0 hoặc 2x+5=0

=>x=3/5 hoặc x=-5/2

c: \(\left(\dfrac{5}{6}:x-\dfrac{5}{4}\right)^4=\dfrac{81}{16}\)

\(\Leftrightarrow\left[{}\begin{matrix}\dfrac{5}{6}:x-\dfrac{5}{4}=\dfrac{3}{2}\\\dfrac{5}{6}:x-\dfrac{5}{4}=-\dfrac{3}{2}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}\dfrac{5}{6}:x=\dfrac{11}{4}\\\dfrac{5}{6}:x=-\dfrac{1}{4}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{10}{33}\\x=-\dfrac{10}{3}\end{matrix}\right.\)

d: \(\left|\dfrac{2}{5}x-\dfrac{1}{5}\right|\cdot\dfrac{5}{4}-2=\dfrac{3}{2}\)

\(\Leftrightarrow\left|\dfrac{2}{5}x-\dfrac{1}{5}\right|\cdot\dfrac{5}{4}=\dfrac{3}{2}+2=\dfrac{7}{2}\)

\(\Leftrightarrow\left|\dfrac{2}{5}x-\dfrac{1}{5}\right|=\dfrac{7}{2}:\dfrac{5}{4}=\dfrac{7}{2}\cdot\dfrac{4}{5}=\dfrac{28}{10}=\dfrac{14}{5}\)

\(\Leftrightarrow\left[{}\begin{matrix}\dfrac{2}{5}x-\dfrac{1}{5}=\dfrac{14}{5}\\\dfrac{2}{5}x-\dfrac{1}{5}=-\dfrac{14}{5}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=3:\dfrac{2}{5}=\dfrac{15}{2}\\x=-\dfrac{13}{5}:\dfrac{2}{5}=\dfrac{-13}{2}\end{matrix}\right.\)