\(x-\left(\frac{20}{11.13}+\frac{20}{13.15}+\frac{20}{15.17}+...+\frac{20}{53.55}\right)=\frac{3}{11}.\)

\(x-\frac{20}{2}.\left(\frac{1}{11}-\frac{1}{13}+\frac{1}{13}-\frac{1}{15}+\frac{1}{15}-\frac{1}{17}+...+\frac{1}{53}-\frac{1}{55}\right)=\frac{3}{11}\)

\(x-10.\left(\frac{1}{11}-\frac{1}{55}\right)=\frac{3}{11}\)

\(x-10\cdot\frac{4}{55}=\frac{3}{11}\)

\(x-\frac{8}{11}=\frac{3}{11}\)

 x = 1

\(-\frac{1}{10}< =x< =\frac{3}{5}\) 

\(\frac{-4}{9}< x< =\frac{2}{3}\)

Đoàn Thị Thanh Ngân viết lời giải hộ thanks

Trả lời:

a, 9 - ( 12 - x ) = 11

<=> 9 - 12 + x = 11

<=> -3 + x = 11

<=> x = 11 + 3

<=> x = 14

Vậy x = 14

b, -2x - ( -17 ) = 15

<=> -2x + 17 = 15

<=> -2x = 15 - 17

<=> -2x = -2

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

<=> x = 1

Vậy x = 1

\(\left(\dfrac{6:\dfrac{3}{5}-\dfrac{17}{16}.\dfrac{6}{7}}{\dfrac{21}{5}.\dfrac{10}{11}+\dfrac{57}{11}}-\dfrac{\left(\dfrac{3}{20}+\dfrac{1}{2}-\dfrac{1}{15}\right).\dfrac{12}{49}}{\dfrac{10}{3}+\dfrac{2}{9}}\right).x=\dfrac{215}{96}\)

\(\Rightarrow\left(\dfrac{\dfrac{509}{56}}{9}-\dfrac{\dfrac{7}{12}.\dfrac{12}{49}}{\dfrac{32}{9}}\right).x=\dfrac{215}{96}\)

\(\Rightarrow\left(\dfrac{509}{504}-\dfrac{\dfrac{1}{7}}{\dfrac{32}{9}}\right).x=\dfrac{215}{96}\)

\(\Rightarrow\left(\dfrac{509}{504}-\dfrac{9}{224}\right).x=\dfrac{215}{96}\)

\(\Rightarrow\dfrac{1955}{2016}.x=\dfrac{215}{96}\)

\(\Rightarrow x=\dfrac{215}{96}:\dfrac{1955}{2016}\)

\(\Rightarrow x=\dfrac{903}{391}\)

`[ 6 : 3/5 - 17/16 . 6/7 : 21/5 . 10/11 + 57/11 -  (3/20 + 1/2 - 1/15) . 12/49 :  10/3 + 2/9 ] . x = 215/96`

`=>[ 6  . 5/3 - 17/16 . 6/7 . 5/21 . 10/11 + 57/11 -  (3/20 + 1/2 - 1/15) . 12/49 . 3/10 + 2/9 ] . x = 215/96`

`=>[10- 51/56 . 6/7 . 5/21 . 10/11 + 57/11 -  (3/20 + 1/2 - 1/15) . 12/49 . 3/10 + 2/9 ] . x = 215/96`

`=> [10- 153/196  . 5/21 . 10/11 + 57/11 -  (3/20 + 1/2 - 1/15) . 12/49 . 3/10 + 2/9 ] . x = 215/96`

`=> [10- 255/1372 . 10/11 + 57/11 -  (3/20 + 1/2 - 1/15) . 12/49 . 3/10 + 2/9 ] . x = 215/96`

`=> [10- 1275/7546 + 57/11 -  (3/20 + 1/2 - 1/15) . 12/49 . 3/10 + 2/9 ] . x = 215/96`

`=> (10- 1275/7546 + 57/11 -  7/12. 12/49 . 3/10 + 2/9 ) . x = 215/96`

`=> ( 10- 1275/7546 + 57/11 -343/600 . 3/10 + 2/9 ) . x = 215/96`

`=> ( 10- 1275/7546 + 57/11 -343/2000 + 2/9 ) . x = 215/96`

`=>15,06357671 . x= 215/96`

`=> x= 215/96: 15,06357671`

`=>x= 0,1486754027`

Đề có phải như vậy không nhỉ ?

bài 1 : -x+8=-17

=>-x=(-17)-8

=>x=-25

bài 2:-19-x=|-20|

=>x=20+(-19)

=>x=1

bài 3:35-x=-77

=>x=(-77)-35

=>x=-112

bài 4 :x-45=-17

=>x=(-17)+45

=>x=28

bài 5 : |x-3|=15

=>x-3=±5

TH1:x-3=5                         TH2:x-3=-5

=>x=8                                =>x=-2

bài 6:|x-3|-16=4

=>|x-3|=20

=>x-3=±20

TH1:x-3=20                      TH2:x-3=-20

=>x=23                            =>x=-17

bài 7:|x-7|+113=25

=>|x-7|=-88

=>x vô nghiệm

bài 8:26-|x+9|=-13

<=>26-|x+9|=-(|x+9|-26)

=>-(|x+9|-26=-13

=>x=-48 hoặc 30

bạn tự động não đi chứ đăng nhiều thế này mình làm mỏi hết cả tay

=>|x-9|=

hihi xin loi mk rui do

a, -19 - x = -20

           x = -19 - (-20)

           x = -19 + 20

           x = 1

b, 5x - 6 = 3x + 12

    5x - 6 - 3x = 12

    5x - 3x      = 12 + 6

    (5 - 3)x      = 18

    2x             = 18

    x              = 18 : 2

    x              = 9

c, 15 - 3 (x - 1) = 8 - 2x

    15 - 3 (x - 1) + 2x = 8

          -3x - 3 - 2x = 8 - 15

          -3x - 3 - 2x = -7

          -3x - 2x - 3 = 7

          -3x - 2x       = 7 + 3

           (-3 - 2) x      = 10

                   -5x     = 10

                      x      = 10 : (-5)

                      x      = -2

d, (5x - 6)² = 16

    (5x - 6)² = 4²

=> 5x - 6 = 4

     5x      = 4 + 6

     5x      = 10

       x      = 10 : 5

       x     = 2

f, 26 - | x + 9 | = 13

          | x + 9 | = 26 - 13

=>      | x + 9 | = 13

=>        x + 9 = +- 13

* Với x + 9 = 13

         x      = 13 - 9

         x      = 4

* Với x + 9 = -13

         x      = -13 - 9

         x      = -22

Vậy x = {4;-22}

e, | 3 + x | = 19

=>  3 + x = +- 19

* Với 3 + x = 19

              x = 19 - 3

              x = 16

* Với 3 + x = -19

              x = -19 - 3

              x = -22

Vậy x = {16;-22}

a, X = -19+20=1

b, (5-3)X = 18

       2X   = 18

=>    X    = 9

c, 3X + 3 -2X = 7

         X+3     =7

           X       = 4

f, |X+9| = 13

ta có 2 trường hợp:

TH1: X+9 = 13

=> X= 4

TH2 : X+9 = -13 

=> X= -22

e, ta có 2 trường hợp:

TH1: 3+X = 19

=> X= 16

TH2: 3+X = -19

=> X= -22

Giải:

a) \(2\dfrac{17}{20}-1\dfrac{15}{11}+6\dfrac{9}{20}:3\)

\(=\dfrac{57}{20}-\dfrac{26}{11}+\dfrac{129}{20}:3\) 

\(=\dfrac{107}{220}+\dfrac{43}{20}\)

\(=\dfrac{29}{11}\)

b) \(4\dfrac{3}{7}:\left(\dfrac{7}{5}.4\dfrac{3}{7}\right)\) 

\(=\dfrac{31}{7}:\left(\dfrac{7}{5}.\dfrac{31}{7}\right)\) 

\(=\dfrac{31}{7}:\dfrac{31}{5}\) 

\(=\dfrac{5}{7}\) 

c) \(\left(3\dfrac{2}{9}.\dfrac{15}{23}.1\dfrac{7}{29}\right):\dfrac{5}{23}\) 

\(=\left(\dfrac{29}{9}.\dfrac{15}{23}.\dfrac{36}{29}\right):\dfrac{5}{23}\) 

\(=\dfrac{60}{23}:\dfrac{5}{23}\) 

\(=12\)

a,  3(x+3)-2(x-5)=11

=> 3x+9-2x+10=11

=> 3x-2x=11-10-9

=>  x=-8

Vậy.........

b,   14-4|x|=-6

=>  -4|x|=8

=>   |x|=-2(VL vì trị tuyệt đối luôn lớn hơn hoặc = 0)

Vậy......

a, x / 16  = 17 / -8

\(\Rightarrow x.\left(-8\right)=272\)

\(x=-34\)

b, x / -2 = -8 / x

\(\Rightarrow x.x=16\)

\(\Rightarrow x^2=\left(\pm4\right)^2\)

\(x=\pm4\)

c, -5 / -14 = 20 / 6 - 5x

\(5.\left(6-5x\right)=-280\)

\(6-5x=-56\)

\(5x=62\)

\(x=\frac{62}{5}\)

d, 7 / 17 = x / 119 = -35 / y

\(\Rightarrow\frac{7}{17}=\frac{x}{119}\Leftrightarrow x.17=833\Leftrightarrow x=\frac{49}{3}\)

\(\Rightarrow\frac{7}{17}=\frac{-35}{y}\Leftrightarrow y.7=-595\Leftrightarrow y=-85\)

Vậy ...

chúc bạn học tốt

a.\(\frac{x}{16}\)=\(\frac{17}{-8}\)\(\Rightarrow-8x=16.17\Rightarrow-8x=272\Rightarrow x=-34\)
b. \(\frac{x}{-2}\)=\(\frac{-8}{x}\)\(\Rightarrow x^2=(-2)(-8)\Rightarrow x^2=16\Rightarrow x\in\left\{4;-4\right\}\)
\(\frac{-5}{-14}\)=\(\frac{20}{6-5x}\)\(\Rightarrow\frac{5}{14}\)= \(\frac{20}{6-5x}\)\(\Rightarrow5(6-5x)=20.14\Rightarrow30-25x=280\Rightarrow25x=-250\Rightarrow\)\(x=-10\)
d. \(\frac{7}{17}\)=\(\frac{x}{119}\)=\(\frac{-35}{y}\)\(\Rightarrow\hept{\begin{cases}x=119.\frac{7}{17}\\y=-35:\frac{7}{17}\end{cases}}\)\(\Rightarrow\hept{\begin{cases}x=49\\y=-85\end{cases}}\)
Chúc bạn học tốt!