\(\dfrac{3x}{5}=\dfrac{x-1}{3}\)

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`#3107.101107`

\(\dfrac{3x}{5}=\dfrac{x-1}{3}\)

\(\Rightarrow3x\cdot3=5\left(x-1\right)\)

\(\Rightarrow5\left(x-1\right)=9x\)

\(\Rightarrow5x-5=9x\)

\(\Rightarrow5x-9x=5\)

\(\Rightarrow-4x=5\)

\(\Rightarrow x=-\dfrac{5}{4}\)

Vậy, \(x=-\dfrac{5}{4}.\)

30 tháng 8 2019

1) -2/3

1: \(\Leftrightarrow3x+4=2\)

=>3x=-2

=>x=-2/3

2: \(\Leftrightarrow7x-7=6x-30\)

=>x=-23

3: =>\(5x-5=3x+9\)

=>2x=14

=>x=7

4: =>9x+15=14x+7

=>-5x=-8

=>x=8/5

28 tháng 6 2017

a, \(\dfrac{5}{6}-\left|2-x\right|=\dfrac{1}{3}\Rightarrow\dfrac{5}{6}-\dfrac{1}{3}=\left|2-x\right|\)

<=> \(\dfrac{1}{2}=\left|2-x\right|\) \(\Leftrightarrow\left[{}\begin{matrix}2-x=\dfrac{1}{2}\\2-x=\dfrac{-1}{2}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{3}{2}\\x=\dfrac{5}{2}\end{matrix}\right.\)

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Mấy câu sau tương tự thôi

21 tháng 1 2018

a)\(\dfrac{3}{2}hay\dfrac{-3}{2}\)

b)\(\dfrac{13}{20}hay\dfrac{-13}{20}\)

c)\(\dfrac{11}{6}hay\dfrac{-11}{6}\)

d)\(\dfrac{4}{3}hay\dfrac{-4}{3}\)

e)\(\dfrac{1}{5}hay\dfrac{-1}{5}\)

Đây là câu trả lời của mình

Hay có nghĩa là hoặc

27 tháng 11 2022

b: =>(3x-1)(3x+1)(2x+3)=0

hay \(x\in\left\{\dfrac{1}{3};-\dfrac{1}{3};-\dfrac{3}{2}\right\}\)

c: \(\Leftrightarrow\left|2x-\dfrac{1}{3}\right|=\dfrac{5}{6}+\dfrac{3}{4}=\dfrac{19}{12}\)

=>2x-1/3=19/12 hoặc 2x-1/3=-19/12

=>2x=23/12 hoặc 2x=-15/12=-5/4

=>x=23/24 hoặc x=-5/8

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

=>-5/6x=-3/2

=>x=3/2:5/6=3/2*6/5=18/10=9/5

e: =>2/5x-1/2=3/4 hoặc 2/5x-1/2=-3/4

=>2/5x=5/4 hoặc 2/5x=-1/4

=>x=5/4:2/5=25/8 hoặc x=-1/4:2/5=-1/4*5/2=-5/8

f: =>14x-21=9x+6

=>5x=27

=>x=27/5

h: =>(2/3)^2x+1=(2/3)^27

=>2x+1=27

=>x=13

i: =>5^3x*(2+5^2)=3375

=>5^3x=125

=>3x=3

=>x=1

1: \(\Leftrightarrow\left(x+1\right)^2=4\)

=>x+1=2 hoặc x+1=-2

=>x=1 hoặc x=-3

2: \(\Leftrightarrow7x-21=5x+25\)

=>2x=46

=>x=23

3: \(\Leftrightarrow x^2+4x+3=x^2+0.5x+4x+2\)

=>4,5x+2=4x+3

=>x=1

10 tháng 9 2017

a/ \(\dfrac{1}{3}-\dfrac{2}{5}+3x=\dfrac{3}{4}\)

\(\Leftrightarrow\dfrac{-1}{15}+3x=\dfrac{3}{4}\)

\(\Leftrightarrow3x=\dfrac{49}{60}\)

\(\Leftrightarrow x=\dfrac{49}{180}\)

Vậy....

b/ \(\dfrac{3}{2}-1+4x=\dfrac{2}{3}-7x\)

\(\Leftrightarrow\dfrac{1}{2}+4x=\dfrac{2}{3}-7x\)

\(\Leftrightarrow4x+7x=\dfrac{2}{3}-\dfrac{1}{2}\)

\(\Leftrightarrow11x=\dfrac{1}{6}\)

\(\Leftrightarrow x=\dfrac{1}{66}\)

Vậy....

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

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

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

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

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

Vậy .....

10 tháng 9 2017

d/ \(4\left(\dfrac{1}{2}-x\right)-5\left(x-\dfrac{3}{10}\right)=\dfrac{7}{4}\)

\(\Leftrightarrow2-4x-5x-\dfrac{3}{2}=\dfrac{7}{4}\)

\(\Leftrightarrow2+\left(-4x\right)+\left(-5x\right)+\left(\dfrac{-3}{2}\right)=\dfrac{7}{4}\)

\(\Leftrightarrow-9x+\dfrac{1}{2}=\dfrac{7}{4}\)

\(\Leftrightarrow-9x=\dfrac{5}{4}\)

\(\Leftrightarrow x=-\dfrac{5}{36}\)

2 tháng 10 2017

câu E

\(\left\{{}\begin{matrix}x\ne\dfrac{5}{2}\\\left(2x-5\right)\left(5-2x\right)=-\left(\dfrac{3}{2}\right)^4\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}x\ne\dfrac{5}{2}\\\left|2x-5\right|=\left(\dfrac{3}{2}\right)^2\end{matrix}\right.\)

\(\left[{}\begin{matrix}\left\{{}\begin{matrix}x< \dfrac{5}{2}\\2x-5=-\left(\dfrac{3}{2}\right)^2\Rightarrow x=\dfrac{11}{8}< \dfrac{5}{2}\left(n\right)\end{matrix}\right.\\\left\{{}\begin{matrix}x>\dfrac{5}{2}\\2x-5=\left(\dfrac{3}{2}\right)^2\Rightarrow x=\dfrac{29}{8}>\dfrac{5}{2}\left(n\right)\end{matrix}\right.\end{matrix}\right.\)

câu F (bạn cho vào lớp 7.2=lớp 14 nhé. )

6 tháng 1 2018

a/ \(\dfrac{x+1}{2}=\dfrac{2x+3}{5}\)

\(\Leftrightarrow5\left(x+1\right)=2\left(2x+3\right)\)

\(\Leftrightarrow5x+5=4x+6\)

\(\Leftrightarrow5x-4x=6-5\)

\(\Leftrightarrow x=1\left(tm\right)\)

Vậy ...

b/ \(\left|x-1\right|+3\left|y+1\right|+\left|z+2\right|=0\)

Mà với \(\forall x;y;z\) ta có :

\(\left\{{}\begin{matrix}\left|x-1\right|\ge0\\3\left|y+1\right|\ge0\\\left|z+2\right|\ge0\end{matrix}\right.\)

\(\Leftrightarrow\left\{{}\begin{matrix}\left|x-1\right|=0\\3\left|y+1\right|=0\\\left|z+2\right|=0\end{matrix}\right.\)

\(\Leftrightarrow\left\{{}\begin{matrix}x-1=0\\y+1=0\\z+2=0\end{matrix}\right.\)

\(\Leftrightarrow\left\{{}\begin{matrix}x=1\\y=-1\\z=-2\end{matrix}\right.\)

Vậy ...

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

\(\Leftrightarrow x-2=5-3x\)

\(\Rightarrow x+3x=5+2\)

\(\Leftrightarrow4x=7\)

\(\Leftrightarrow x=\dfrac{7}{4}\)

Vậy ......

d/ \(\dfrac{x+2}{4}=\dfrac{4}{x+2}\)

\(\Leftrightarrow\left(x+2\right)\left(x+2\right)=16\)

\(\Leftrightarrow\left(x+2\right)^2=4^2=\left(-4\right)^2\)

\(\Leftrightarrow\left[{}\begin{matrix}x+2=4\\x+2=-4\end{matrix}\right.\) \(\Leftrightarrow\left[{}\begin{matrix}x=2\\x=-6\end{matrix}\right.\)

Vậy ...

e/ \(\dfrac{x-1}{5}=\dfrac{-20}{x-1}\)

\(\Leftrightarrow\left(x-1\right)\left(x-1\right)=-100\)

\(\Leftrightarrow\left(x-1\right)^2=-100\)

Lại có : \(\left(x-1\right)^2\ge0\)

\(\Leftrightarrow\) k tồn tại x

14 tháng 9 2017

a/ \(\dfrac{x}{-\dfrac{5}{9}}=\dfrac{\dfrac{4}{3}}{-\dfrac{2}{5}}\)

\(\Leftrightarrow x.\left(\dfrac{-2}{5}\right)=\left(\dfrac{-5}{9}\right).\dfrac{4}{3}\)

\(\Leftrightarrow x.\left(-\dfrac{2}{5}\right)=\dfrac{-20}{27}\)

\(\Leftrightarrow x=\)\(\dfrac{-54}{100}\)

b/ tương tự

14 tháng 9 2017

b/ \(\dfrac{7}{\dfrac{5}{3x}}=\dfrac{-\dfrac{4}{9}}{\dfrac{5}{6}}\)

\(\Leftrightarrow\dfrac{5}{3x}.\left(-\dfrac{4}{9}\right)=7.\dfrac{5}{6}\)

\(\Leftrightarrow\dfrac{5}{3x}.\left(-\dfrac{4}{9}\right)=\dfrac{35}{6}\)

\(\Leftrightarrow\dfrac{5}{3x}=\dfrac{-315}{24}\)

\(\Leftrightarrow3x\left(-315\right)=5.24\)

\(\Leftrightarrow3x\left(-315\right)=120\)

tự tính tiếp, đang lười

a: \(\dfrac{31-2x}{x+23}=\dfrac{9}{4}\)

=>121-8x=9x+207

=>-17x=86

hay x=-86/17

b: \(\dfrac{\left|2x-1\right|}{\dfrac{1}{2}}=\dfrac{18}{5}\)

=>|2x-1|=9/5

=>2x-1=9/5 hoặc 2x-1=-9/5

=>2x=14/5 hoặc 2x=-4/5

=>x=7/5 hoặc x=-2/5

28 tháng 10 2018

a) \(\left[\left(\dfrac{3}{5}\right)^2-\left(\dfrac{2}{5}\right)^2\right]\cdot X=\left(\dfrac{1}{5}\right)^3\)

\(\left(\dfrac{3}{5}-\dfrac{2}{5}\right)\left(\dfrac{3}{5}+\dfrac{2}{5}\right)\cdot X=\dfrac{1}{125}\)

\(\dfrac{1}{5}\cdot1\cdot X=\dfrac{1}{125}\)

\(X=\dfrac{1}{125}:\dfrac{1}{5}=\dfrac{1}{25}\)

b) \(1\dfrac{2}{5}\cdot x+\dfrac{3}{7}=\dfrac{-4}{5}\)

\(1\dfrac{2}{5}\cdot x=\dfrac{-4}{5}-\dfrac{3}{7}\)

\(1\dfrac{2}{5}\cdot x=-\dfrac{43}{35}\)

\(x=-\dfrac{43}{35}:1\dfrac{2}{5}=-\dfrac{43}{49}\)

c) \(\left(3x-2\right)^2=9\)

*Nếu \(9=3^2\) thì:

\(3x-2=3\)

\(3x=5\Rightarrow x=\dfrac{5}{3}\)

*Nếu \(9=\left(-3\right)^2\) thì

\(3x-2=-3\)

\(3x=-1\Rightarrow x=-\dfrac{1}{3}\)

d) \(\left|x+\dfrac{1}{3}\right|-4=-1\)

\(\left|x+\dfrac{1}{3}\right|=3\)

\(\Leftrightarrow\left[{}\begin{matrix}x+\dfrac{1}{3}=3\\x+\dfrac{1}{3}=-3\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{8}{3}\\x=-\dfrac{10}{3}\end{matrix}\right.\)

Chúc bạn học giỏi.

28 tháng 10 2018

a)\(\dfrac{3^2-2^2}{5^2}.x=\dfrac{1}{5^3}\)

\(\Leftrightarrow\dfrac{5}{5^2}.x=\dfrac{1}{5^3}\)

\(\Leftrightarrow\dfrac{1}{5}.x=\dfrac{1}{5^3}\)

\(\Leftrightarrow x=\dfrac{1}{25}\)

b)\(\dfrac{7}{5}x+\dfrac{3}{7}=-\dfrac{4}{5}\)

\(\Leftrightarrow\dfrac{7}{5}x=-\dfrac{43}{35}\)

\(\Leftrightarrow x=\dfrac{-43}{49}\)

c)\(9x^2-12x+4=9\)

\(\Leftrightarrow9x^2-12x-5=0\)

\(\Leftrightarrow9x^2-15x+3x-5=0\)

\(\Leftrightarrow3x\left(3x-5\right)+3x-5=0\)

\(\Leftrightarrow\left(3x-5\right)\left(3x+1\right)=0\)

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

d)\(\left|x+\dfrac{1}{3}\right|=3\)

\(\Leftrightarrow\left[{}\begin{matrix}x+\dfrac{1}{3}=3\\x+\dfrac{1}{3}=-3\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{8}{3}\\x=-\dfrac{10}{3}\end{matrix}\right.\)