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21 tháng 12 2021

a: \(x\in\left\{18;-18\right\}\)

21 tháng 12 2021

\(a,\Rightarrow\left[{}\begin{matrix}x=18\\x=-18\end{matrix}\right.\\ b,\Rightarrow\left[{}\begin{matrix}x=\dfrac{3}{5}\\x=-\dfrac{3}{5}\end{matrix}\right.\\ c,\Rightarrow x:\left(-\dfrac{1}{60}\right)=2\Rightarrow-60.x=2\Rightarrow x=-\dfrac{2}{60}=-\dfrac{1}{30}\)

14 tháng 10 2016

a, ( 44 - x ) / 3 = ( x - 12 ) / 5

=> 5 ( 44 - x  ) = 3 ( x - 12 )

     220 - 5x     = 3x  - 36

     - 5x - 3x     = - 36 - 220

      - 8 x          = - 256

           x          = 32

b , ( 3 - x ) / 4 = ( 2x + 7 ) / 5

=> 5 ( 3 - x )   = 4 ( 2x + 7 )

     15 - 5x      = 8 x  + 28

     - 5 x - 8 x  = 28 - 15

        - 13 x     = 13

               x     = -1

14 tháng 10 2016

a, \(\frac{\left(44-x\right)}{3}=\frac{\left(x-12\right)}{5}\)

 => (44 - x) . 5 = (x - 12) . 3

 => 44 - x . 5   = x - 12 .3

 => 44 - x . 5   = x - 36

 => x5 + x        = - 36 - 44

 => x5 + x        = - 80

=> x . (5 + 1)    = - 80

=> x . 6           = - 80

=> x                = - 80 : 6

=> x                = - 13,3

b, \(\frac{\left(3-x\right)}{4}=\frac{\left(2x+7\right)}{5}\)

=> (3 - x) . 5 = (2x + 7) . 4

=> 3 - x . 5   = 2x + 7 . 4

=> 3 - x . 5   = 2x + 28

=> -x . 5 + 2x = 28 - 3

=> -x . 5 + 2x = 25

=>  x . 5 + 2x = 25

=>  x . (5 + 2) = 25

=>  x . 7         = 25

=>  x              = 25 : 7

=>  x              = 3,57

a: \(A=\dfrac{5}{4}\cdot\dfrac{11}{3}\cdot\dfrac{-1}{11}=\dfrac{-5}{12}=\dfrac{-25}{60}=\dfrac{-50}{120}\)

b: \(B=\dfrac{3}{4}\cdot\dfrac{1}{12}\cdot\dfrac{2}{3}=\dfrac{1}{24}=\dfrac{5}{120}\)

c: \(C=\dfrac{5}{4}\cdot\dfrac{1}{15}\cdot\dfrac{2}{5}=\dfrac{2}{60}=\dfrac{1}{30}=\dfrac{4}{120}\)

\(D=-3\cdot\dfrac{-7}{12}\cdot\dfrac{1}{-7}=-\dfrac{1}{4}=\dfrac{-30}{120}\)

Vì -50<-30<4<5

nên A<D<B<C

a: \(A=\dfrac{5}{4}\cdot\dfrac{11}{3}\cdot\dfrac{-1}{11}=\dfrac{-5}{12}=\dfrac{-25}{60}=\dfrac{-50}{120}\)

b: \(B=\dfrac{3}{4}\cdot\dfrac{1}{12}\cdot\dfrac{2}{3}=\dfrac{1}{24}=\dfrac{5}{120}\)

c: \(C=\dfrac{5}{4}\cdot\dfrac{1}{15}\cdot\dfrac{2}{5}=\dfrac{2}{60}=\dfrac{1}{30}=\dfrac{4}{120}\)

\(D=-3\cdot\dfrac{-7}{12}\cdot\dfrac{1}{-7}=-\dfrac{1}{4}=\dfrac{-30}{120}\)

Vì -50<-30<4<5

nên A<D<B<C

11 tháng 10 2017

\(\left(\frac{1}{7}x-\frac{2}{7}\right)\left(\frac{1}{5}x+\frac{3}{5}\right)\left(\frac{1}{3}x+\frac{4}{3}\right)=0\)

<=> \(\frac{x-2}{7}.\frac{x+3}{5}.\frac{x+4}{3}=0\)

<=> \(\frac{x-2}{7}=0\)hoặc \(\frac{x+3}{5}=0\)\(\frac{x+4}{3}=0\)

Nếu \(\frac{x-2}{7}=0\)<=> \(x-2=0\)<=> \(x=2\)
Nếu \(\frac{x+3}{5}=0\)<=> \(x+3=0\) <=> \(x=3\)

Nếu \(\frac{x+4}{3}=0\)<=> \(x+4=0\)<=> \(x=4\)

Vây x= 2 hoặc 3; 4

6 tháng 8 2020

Ta có :\(\left(\frac{3}{2}-\frac{5}{11}-\frac{3}{13}\right).\left(2x-2\right)=\left(-\frac{3}{4}+\frac{5}{22}+\frac{3}{26}\right)\)

=> \(\left(\frac{3}{2}-\frac{5}{11}-\frac{3}{13}\right).\left(2x-2\right)=-\frac{1}{2}\left(\frac{3}{2}-\frac{5}{11}-\frac{3}{13}\right)\)

=> \(2x-2=-\frac{1}{2}\)

=> \(2x=\frac{3}{2}\)

=> \(x=\frac{3}{4}\)

18 tháng 10 2016

caau tra loi cua em la 1 a

7 tháng 8 2021

a) \(\dfrac{x.2}{-15}=\dfrac{-5}{3}\)

\(\dfrac{x.2}{-15}=\dfrac{25}{-15}\)

x.2=25

x=12,5

b) \(\dfrac{x-1}{-12}=\dfrac{-3}{x-1}\)

(x-1)2=-3.(-12)

(x-1)2=36 

⇒(x-1)2\(\Rightarrow\left[{}\begin{matrix}x-1=6\\x-1=-6\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=7\\x=-5\end{matrix}\right.\)

 

a: \(\dfrac{x}{6}=\dfrac{8}{3}\)

=>\(x=6\cdot\dfrac{8}{3}=\dfrac{6}{3}\cdot8=8\cdot2=16\)

b: \(\dfrac{5}{x}=\dfrac{4}{9}\)

=>\(x=\dfrac{5\cdot9}{4}=\dfrac{45}{4}\)

c: \(\dfrac{x+3}{-4}=\dfrac{5}{20}\)

=>\(x+3=\dfrac{-4\cdot5}{20}=-1\)

=>x=-1-3=-4

d: \(\dfrac{7}{3+4x}=\dfrac{-2}{9}\)

=>\(4x+3=\dfrac{9\cdot7}{-2}=-\dfrac{63}{2}\)

=>\(4x=-\dfrac{63}{2}-3=-\dfrac{69}{2}\)

=>\(x=-\dfrac{69}{8}\)

f: ĐKXĐ: x<>1

\(\dfrac{3}{x-1}=\dfrac{x-1}{27}\)

=>\(\left(x-1\right)^2=3\cdot27=81\)

=>\(\left[{}\begin{matrix}x-1=9\\x-1=-9\end{matrix}\right.\)

=>\(\left[{}\begin{matrix}x=10\left(nhận\right)\\x=-8\left(nhận\right)\end{matrix}\right.\)