\(\left(\frac{1}{x}-\frac{2}{3}\right)^2-\frac{1}{16}=0\)

\(\Leftrightarrow\left(\frac{1}{x}-\frac{2}{3}\right)^2-\left(\frac{1}{4}\right)^2=0\)

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

\(\Leftrightarrow\left(\frac{1}{x}-\frac{5}{12}\right)\left(\frac{1}{x}-\frac{11}{12}\right)=0\)

\(\Leftrightarrow\orbr{\begin{cases}\frac{1}{x}-\frac{5}{12}=0\\\frac{1}{x}-\frac{11}{12}=0\end{cases}}\)

\(\Leftrightarrow\orbr{\begin{cases}\frac{1}{x}=\frac{5}{12}\\\frac{1}{x}=\frac{11}{12}\end{cases}}\)

\(\Leftrightarrow\orbr{\begin{cases}x=\frac{12}{11}\\x=\frac{12}{5}\end{cases}}\)

Vậy....

\(\left(\frac{1}{x}-\frac{2}{3}\right)^2-\frac{1}{16}=0\)

\(\Rightarrow\left(\frac{1}{x}-\frac{2}{3}\right)^2=\frac{1}{16}\)

\(\Rightarrow\left(\frac{1}{x}-\frac{2}{3}\right)^2=\left(\frac{1}{4}\right)^2\)

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

\(\Rightarrow\frac{1}{x}=\frac{11}{12}\)

\(\Rightarrow x=\frac{11}{12}\)

\(=>\left(\frac{1}{x}-\frac{2}{4}\right)^2=\frac{1}{16}\)

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

=>\(\orbr{\begin{cases}\frac{1}{x}=\frac{3}{4}\\\frac{1}{x}=\frac{1}{4}\end{cases}}\)

=> \(\orbr{\begin{cases}x=\frac{4}{3}\\x=4\end{cases}}\)

học tốt

\(\frac{x-12}{3}=\frac{x+1}{4}\)

=>(x-12).4=(x+1)*3

    4x-48=3x+3

    4x-3x=48+3

    x=51

(x-12)/3=(x+1)/4

(x-12)*4=(x+1)*3

x*4-12*4=x*3+1*3

4x-48=3x+3

4x-3x=3+48

x=51

-=> 4 .(x\(-\)12) = 3 .(x+1)

=.>4x\(-\)48      = 3x+3

=>4x\(-\)3x       = 48 + 3

=.> x                  = 51

Vậy x =51

x=3n bạn ak

nếu tìm x thì mk làm đc:

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

\(\Leftrightarrow\frac{2x}{6}+\frac{2x-6}{6}=\frac{6}{x}-\frac{x}{3}\)

\(\Leftrightarrow\frac{2x+2x-6}{6}=\frac{6-x}{3}\)

\(\Leftrightarrow\frac{2x+2x-6}{6}=\frac{2\left(6-x\right)}{2.3}=\frac{12-2x}{6}\)

<=>2x+2x-6=12-2x

<=>4x-6=12-2x

<=>4x-2x=12-6

<=>2x=6<=>x=3

Vậy x=3

áp dụng tỉ lệ thức ta có :

\(\frac{2x-3}{3}=\frac{6-x}{3}\Rightarrow\left(2x-3\right)3=3\left(6-x\right)\)

<=>(2x-3)3=3(2x-3)

=>3(6-x)=-3(x-6)

<=>3(2x-3)=-3(x-6)

<=>6x-9=18-3x

<=>(6x+3x)=18+9

=>9x=27

=>x=27:9

=>x=3

t-i-ck mình nhé mà tên bạn kì vãi Trương Thị Mỹ Trinh

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

ĐK : \(x+3\ge0\Leftrightarrow x\ge-3\)

Th1 : \(x-3,2+2x-\frac{1}{5}=x+3\)

\(x-3,2+2x=x+\frac{16}{5}\)

\(x+2x=x+\frac{32}{5}\)

\(2x=\frac{32}{5}\)

\(\Leftrightarrow x=3,2\)(tm)

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

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

\(x-3,2+2x=\frac{16}{5}-x\)

\(x+2x=\frac{16}{5}-x+3,2\)

\(x+2x=\frac{32}{5}-x\)

\(2x=\frac{32}{5}-x-x\)

\(2x=\frac{32}{5}-2x\)

\(4x=\frac{32}{5}\)

\(x=1,6\)(tm)

Vậy \(x=1,6\)hoặc \(x=3,2\)

3(x+2)=-4(x-5)

3x+6=-4x+20

3x+4x=20-6

7x=14

x=14:7=2

ta có: 3/x - 5 = -4/x + 2

     => 3(x + 2) = -4(x + 5)

     => 3x + 6 = (-4)x + -20

     => 3x + 6 = (-4)x - 20

     => (-4)x - 3x = 20 + 6

     => (-1)x = 26

     => x = -26

a ) Ta có : - 12 . ( x - 5 ) + 7( 3 - x ) = 5

Suy ra - 12x - ( - 12 ) . 5 + 7 . 3 - 7x = 5

Suy ra - 12x + 60 + 21 - 7x = 5

Suy ra - 12x - 7x = 5 - 60 - 21

Suy ra - 19x = - 76

Suy ra x = -76 : ( - 19 )

Vậy x = 4

b ) Ta có : 30 . ( x + 2 ) - 6  . ( x - 5 ) - 24x = 100

Suy ra 30x + 30 . 2 - 6x - ( - 6 ) . 5 - 24x = 100

Suy ra 30x + 60 - 6x + 30 - 24x = 100

Suy ra 30x - 6x - 24x = 100 - 60 - 30

Suy ra 0x = 10

Vậy x = 0

x = -19 x 3 : (-57) = 1

y = -19 x (-9) : (-57) = 3

z = -57 x (-8) : (-19) = 24

Tk mình nha mọi người!!!!

Ta có:

    \(\frac{x}{3}=\frac{y}{-9}=\frac{8}{-z}=\frac{-19}{-57}\) 

\(\Rightarrow\frac{x}{3}=\frac{-y}{9}=\frac{-8}{z}=\frac{19}{57}\)

\(\Rightarrow\frac{x}{3}=\frac{19}{57}\)

\(\Rightarrow x\times57=19\times3=57\)

\(\Rightarrow x=57\div57=1\)

\(\Rightarrow\frac{1}{3}=\frac{-y}{9}\)

\(\Rightarrow-y\times3=1\times9=9\)

\(\Rightarrow-y=9\div3=3\)

\(\Rightarrow y=-3\)

\(\Rightarrow\frac{-3}{-9}=\frac{3}{9}=\frac{-8}{z}\)

\(\Rightarrow3\times z=-8\times9=-72\)

\(\Rightarrow z=-72\div3=-24\)

Vậy các giá trị x,y,z thỏa mãn đề bài là:

x=1;y=-3,z=-24

x=1,y=-3,z=-24 vì -19/-57=1/3 

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

\(\Rightarrow\left(x+5\right).4=\left(x-1\right).3\)

\(\Rightarrow4x+20=3x-3\)

\(\Rightarrow4x-3x=-3-20\Rightarrow x=-23\)

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

\(\Rightarrow\left(x+5\right)\cdot4=\left(x-1\right)\cdot3\)

\(4x+20=3x-3\)

\(4x-3x=-3-20\)

\(x=-23\)

Vậy \(x=-23\)

khong biet