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15 tháng 12 2022

a: =>5x+25-3x+6=25+18

=>2x+41=43

=>2x=2

=>x=1

b: =>4x+8=3x+3+17

=>4x+8=3x+20

=>x=12

15 tháng 12 2022

a: =>5x+25-3x+6=25+18

=>2x+41=43

=>2x=2

=>x=1

b: =>4x+8=3x+3+17

=>4x+8=3x+20

=>x=12

 

12 tháng 12 2021

1) x-12=(-8)+(-17)
    x-12=(-25)
    x      = (-25)+12
    x      = (-13)

 

2 tháng 6 2017

a) \(\dfrac{2}{3}x-\dfrac{1}{2}=\dfrac{1}{10}\)

\(\dfrac{2}{3}x=\dfrac{1}{10}+\dfrac{1}{2}=\dfrac{3}{5}\)

\(x=\dfrac{3}{5}:\dfrac{2}{3}=\dfrac{9}{10}\)

b) \(\dfrac{39}{7}:x=13\)

\(x=\dfrac{\dfrac{39}{7}}{13}=\dfrac{3}{7}\)

c) \(\left(\dfrac{14}{5}x-50\right):\dfrac{2}{3}=51\)

\(\dfrac{14}{5}x-50=51\cdot\dfrac{2}{3}=34\)

\(\dfrac{14}{5}x=34+50=84\)

\(x=\dfrac{84}{\dfrac{14}{5}}=30\)

d) \(\left(x+\dfrac{1}{2}\right)\left(\dfrac{2}{3}-2x\right)=0\)

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

e) \(\dfrac{2}{3}x-\dfrac{1}{2}x=\dfrac{5}{12}\)

\(\dfrac{1}{6}x=\dfrac{5}{12}\)

\(x=\dfrac{5}{12}:\dfrac{1}{6}=\dfrac{5}{2}\)

g) \(\left(x\cdot\dfrac{44}{7}+\dfrac{3}{7}\right)\dfrac{11}{5}-\dfrac{3}{7}=-2\)

\(\left(x\cdot\dfrac{44}{7}+\dfrac{3}{7}\right)\cdot\dfrac{11}{5}=-2+\dfrac{3}{7}=-\dfrac{11}{7}\)

\(x\cdot\dfrac{44}{7}+\dfrac{3}{7}=-\dfrac{11}{7}:\dfrac{11}{5}=-\dfrac{5}{7}\)

\(\dfrac{44}{7}x=-\dfrac{5}{7}-\dfrac{3}{7}=-\dfrac{8}{7}\)

\(x=-\dfrac{8}{7}:\dfrac{44}{7}=-\dfrac{2}{11}\)

h) \(\dfrac{13}{4}x+\left(-\dfrac{7}{6}\right)x-\dfrac{5}{3}=\dfrac{5}{12}\)

\(\dfrac{25}{12}x-\dfrac{5}{3}=\dfrac{5}{12}\)

\(\dfrac{25}{12}x=\dfrac{5}{12}+\dfrac{5}{3}=\dfrac{25}{12}\)

\(x=1\)

Mỏi tay woa bn làm nốt nha!!

30 tháng 1

\(a.\dfrac{2}{3}+\dfrac{1}{5}\cdot\dfrac{10}{7}\\ =\dfrac{2}{3}+\dfrac{2}{7}=\dfrac{20}{21}\\ b.\dfrac{7}{12}-\dfrac{27}{7}\cdot\dfrac{1}{18}\\ =\dfrac{7}{12}-\dfrac{3}{14}=\dfrac{31}{84}\\ c.\left(\dfrac{23}{11}-\dfrac{15}{82}\right)\cdot\dfrac{41}{25}\\ =\dfrac{1721}{902}\cdot\dfrac{41}{25}=\dfrac{1721}{550}\\ d.\left(\dfrac{4}{5}+\dfrac{1}{2}\right)\cdot\left(\dfrac{3}{13}-\dfrac{8}{13}\right)\\ =\dfrac{13}{10}\cdot\left(\dfrac{-5}{13}\right)=\dfrac{-1}{2}\)

a: \(\left|x\right|-\dfrac{38}{7}\left|x\right|-\dfrac{3}{4}=2\left|x\right|-\dfrac{8}{7}\)

\(\Leftrightarrow\left|x\right|\cdot\dfrac{-45}{7}=-\dfrac{8}{7}+\dfrac{3}{4}=\dfrac{-32+21}{28}=\dfrac{-11}{28}\)

=>|x|=11/180

=>x=11/180 hoặc x=-11/180

b: \(\Leftrightarrow x\cdot\dfrac{13}{4}-\dfrac{7}{6}x=\dfrac{5}{12}+\dfrac{5}{3}\)

=>25/12x=25/12

hay x=1

4 tháng 6 2017

a) ( 3x - 4 ) . ( x - 1 ) 3 = 0

\(\Rightarrow\orbr{\begin{cases}3x-4=0\\\left(x-1\right)^3=0\end{cases}}\Rightarrow\orbr{\begin{cases}3x=4\\x-1=0\end{cases}}\Rightarrow\orbr{\begin{cases}x=\frac{4}{3}\\x=1\end{cases}}\)

b) x17 = x

\(\Rightarrow\)x17 - x = 0

\(\Rightarrow\)x . ( x16 - 1 ) = 0

\(\Rightarrow\orbr{\begin{cases}x=0\\x^{16}-1=0\end{cases}}\Rightarrow\orbr{\begin{cases}x=0\\x^{16}=1\end{cases}}\Rightarrow\orbr{\begin{cases}x=0\\x=1\end{cases}}\)

c) 22x - 1 : 4 = 83

22x - 1 : 22 = 29

22x - 1 = 2. 22

22x - 1 = 211

\(\Rightarrow\)2x - 1 = 11

\(\Rightarrow\)2x = 12

\(\Rightarrow\)x = 6

d) ( x + 2 ) 5 = 210

( x + 2 ) 5 = 45

\(\Rightarrow\)x + 2 = 4

\(\Rightarrow\)x = 4 - 2 = 2

e)    ( x - 5 ) 4 = ( x - 5 ) 6

( x - 5 ) 4 - ( x - 5 ) 6 = 0

( x - 5 ) 4 . [ 1 - ( x - 5 ) 2 ] = 0

\(\Rightarrow\orbr{\begin{cases}\left(x-5\right)^4=0\\1-\left(x-5\right)^2=0\end{cases}}\Rightarrow\orbr{\begin{cases}x-5=0\\\left(x-5\right)^2=1\end{cases}}\Rightarrow\orbr{\begin{cases}x=5\\x-5=1\end{cases}}\Rightarrow\orbr{\begin{cases}x=5\\x=6\end{cases}}\)

f )  số số hạng của dãy trên là :

( x - 1 ) : 1 + 1 = x ( số )

tổng của dãy trên là :

( x + 1 ) . x : 2 = 78

( x + 1 ) . x = 78 . 2 = 156

Phân tích : 156 = 22 . 3 . 13 = ( 22 . 3 ) . 13 = 12 . 13

\(\Rightarrow\)x = 12

g)  ( x + 1 ) 2 = ( x + 1 ) 0

( x + 1 ) 2 = 1

\(\Rightarrow\)x + 1 = 1

\(\Rightarrow\)x = 1 - 1 = 0

h)  ( 2 + x ) + ( 4 + x ) + ( 6 + x ) + ... + ( 52 + x ) = 780

( 2 + 4 + 6 + ... + 52 ) + ( x + x + x + ... + x ) = 780

2 . ( 1 + 2 + 3 + ... + 26 ) + 26x = 780

2 . 351 + 26x = 780

702 + 26x = 780

26x = 780 - 702

26x = 78

x = 78 : 26

x = 3

4 tháng 6 2017

a) (3x - 4) . (x - 1)3 = 0

+) (3x - 4) =0                                                   

3x         =0+4

3x         =4

 x          =3:4

 x          =0,75

Bài 1: 

a) Ta có: \(x\left(x^2-4\right)=0\)

\(\Leftrightarrow x\left(x-2\right)\left(x+2\right)=0\)

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

Vậy: \(x\in\left\{0;2;-2\right\}\)

b) Ta có: \(\left(2x-3\right)+\left(-3x\right)-\left(x-5\right)=40\)

\(\Leftrightarrow2x-3-3x-x+5=40\)

\(\Leftrightarrow-2x+2=40\)

\(\Leftrightarrow-2x=38\)

hay x=-19

Vậy: x=-19

Bài 2: 

a) Ta có: \(-45\cdot12+34\cdot\left(-45\right)-45\cdot54\)

\(=-45\cdot\left(12+34+54\right)\)

\(=-45\cdot100\)

\(=-4500\)

b) Ta có: \(43\cdot\left(57-33\right)+33\cdot\left(43-57\right)\)

\(=43\cdot57-43\cdot33+43\cdot33-33\cdot57\)

\(=43\cdot57-33\cdot57\)

\(=57\cdot\left(43-33\right)\)

\(=57\cdot10=570\)