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17 tháng 10 2022

a, (x- \(\dfrac{2}{7}\))(x+\(\dfrac{3}{4}\))

⇔ \(\left[{}\begin{matrix}x-\dfrac{2}{7}=0\\x+\dfrac{3}{4}=0\end{matrix}\right.\)

⇔ \(\left[{}\begin{matrix}x=\dfrac{2}{7}\\x=-\dfrac{3}{4}\end{matrix}\right.\)

b, \(\dfrac{2}{3}\) x - \(\dfrac{2}{5}\) = \(\dfrac{1}{2}\) x - \(\dfrac{1}{3}\)

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

⇔ \(\dfrac{x}{6}\) = \(\dfrac{1}{15}\)

⇔ x = \(\dfrac{1}{15}\) x 6 

     x = \(\dfrac{2}{5}\)

c, \(\dfrac{1}{3}\) x + \(\dfrac{2}{5}\) (x+1)= 0

⇔ \(\dfrac{5x+6x+6}{15}\) = 0

⇔ 11x + 6 = 0

⇔ x = - \(\dfrac{6}{11}\)

 

17 tháng 10 2022

 

tìm x

a, (x - 2/7 ) ( x + 3/4 )=0

<=> x - 2/7= 0 hoặc x+3/4 = 0
=> X = 2/7 hoặc x = -3/4

c,1/3x +2/5 (x+1 )=0

=> 1/3x + 2/5x + 2/5.1 = 0

=> x.(1/3 + 2/5 ) +2/5 = 0

=> x.11/15 + 2/5 = 0

=> x.11/15 = 0 - 2/5

=> x.11/15 = -2/5

=> x = -2/5 : 11/15

=> x = -6/11

Vậy x = -6/11

20 tháng 9 2020

ngu thế à bạn

24 tháng 7 2019

Tên chữ Cam là sao

24 tháng 7 2019

Bài 1:

a) -6x + 3(7 + 2x)

= -6x + 21 + 6x

= (-6x + 6x) + 21

= 21

b) 15y - 5(6x + 3y)

= 15y - 30 - 15y

= (15y - 15y) - 30

= -30

c) x(2x + 1) - x2(x + 2) + (x3 - x + 3)

= 2x2 + x - x3 - 2x2 + x3 - x + 3

= (2x2 - 2x2) + (x - x) + (-x3 + x3) + 3

= 3

d) x(5x - 4)3x2(x - 1) ??? :V

Bài 2:

a) 3x + 2(5 - x) = 0

<=> 3x + 10 - 2x = 0

<=> x + 10 = 0

<=> x = -10

=> x = -10

b) 3x2 - 3x(-2 + x) = 36

<=> 3x2 + 2x - 3x2 = 36

<=> 6x = 36

<=> x = 6

=> x = 5

c) 5x(12x + 7) - 3x(20x - 5) = -100

<=> 60x2 + 35x - 60x2 + 15x = -100

<=> 50x = -100

<=> x = -2

=> x = -2

6 tháng 9 2019

a, \(\left(5x-1\right)\left(2x-\frac{1}{3}\right)=0\)

\(\Rightarrow\orbr{\begin{cases}5x-1=0\\2x-\frac{1}{3}=0\end{cases}\Rightarrow}\orbr{\begin{cases}5x=1\\2x=\frac{1}{3}\end{cases}\Rightarrow}\orbr{\begin{cases}x=\frac{1}{5}\\x=\frac{1}{6}\end{cases}}\)

b. \(\left(x^2+1\right)\left(x-4\right)=0\)

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

c, \(2x^2-\frac{1}{3}x=0\)

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

\(\Rightarrow\orbr{\begin{cases}x=0\\2x-\frac{1}{3}=0\end{cases}}\Rightarrow\orbr{\begin{cases}x=0\\x=\frac{1}{6}\end{cases}}\)

d, \(\left(\frac{4}{5}\right)^{5x}=\left(\frac{4}{5}\right)^7\)

\(\Rightarrow5x=7\)

\(\Rightarrow x=\frac{7}{5}\)

e, Ta có: \(A=\frac{x+5}{x-2}=\frac{\left(x-2\right)+7}{x-2}=1+\frac{7}{x-2}\)

Để A ∈ Z <=> (x - 2) ∈ Ư(7) = { ±1; ±7 }

x - 21-17-7
x319-5

 Vậy....

6 tháng 9 2019

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

\(\Leftrightarrow\orbr{\begin{cases}5x-1=0\\2x-\frac{1}{3}=0\end{cases}}\)

\(\Leftrightarrow\orbr{\begin{cases}5x=1\\2x=\frac{1}{3}\end{cases}}\)

\(\Leftrightarrow\orbr{\begin{cases}x=\frac{1}{5}\\x=\frac{1}{6}\end{cases}}\)

Vậy : ....

b) \(\left(x^2+1\right)\left(x-4\right)=0\)

\(\Leftrightarrow\orbr{\begin{cases}x^2+1=0\\x-4=0\end{cases}}\)

\(\Leftrightarrow\orbr{\begin{cases}x^2=-1\left(loại\right)\\x=4\end{cases}}\)

c) \(2x^2-\frac{1}{3}x=0\)

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

\(\Leftrightarrow\orbr{\begin{cases}x=0\\2x-\frac{1}{3}=0\end{cases}}\)

\(\Leftrightarrow\orbr{\begin{cases}x=0\\x=\frac{1}{6}\end{cases}}\)

Vậy :...

1 tháng 10 2017

a. \(5.\left(x-2\right)+3.\left(x-2\right)=0\)

\(\Rightarrow8.\left(x-2\right)=0\)

\(\Rightarrow x-2=0:8\)

\(\Rightarrow x-2=0\)

\(\Rightarrow x=2\)

Vậy...

b. \(\dfrac{2}{3}+\dfrac{5}{2}:x=\dfrac{2}{4}\)

\(\Rightarrow\dfrac{5}{2}:x=\dfrac{2}{4}-\dfrac{2}{3}\)

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

\(\Rightarrow x=\dfrac{5}{2}:\dfrac{-1}{6}=-15\)

Vậy...

c. \(2.\left(x-\dfrac{1}{7}\right)=0\)

\(\Rightarrow x-\dfrac{1}{7}=0:2\)

\(\Rightarrow x-\dfrac{1}{7}=0\)

\(\Rightarrow x=\dfrac{1}{7}\)

Vậy...

d. \(\dfrac{11}{20}-\left(\dfrac{2}{5}+x\right)=\dfrac{2}{3}\)

\(\Rightarrow\dfrac{2}{5}+x=\dfrac{11}{12}:\dfrac{2}{3}\)

\(\Rightarrow\dfrac{2}{5}+x=\dfrac{1}{4}\)

\(\Rightarrow x=\dfrac{1}{4}-\dfrac{2}{5}=\dfrac{-3}{20}\)

Vậy...

e. \(\dfrac{3}{4}+\dfrac{1}{4}:x=\dfrac{2}{5}\)

\(\Rightarrow\dfrac{1}{4}:x=\dfrac{2}{5}-\dfrac{3}{4}\)

\(\Rightarrow\dfrac{1}{4}:x=\dfrac{-7}{20}\)

\(\Rightarrow x=\dfrac{1}{4}:\dfrac{-7}{20}=\dfrac{-5}{7}\)

Vậy...

g. \(\dfrac{2}{3}x+\dfrac{5}{7}=\dfrac{3}{10}\)

\(\Rightarrow\dfrac{2}{3}x=\dfrac{3}{10}-\dfrac{5}{7}\)

\(\Rightarrow\dfrac{2}{3}x=\dfrac{-29}{70}\)

\(\Rightarrow x=\dfrac{-29}{70}:\dfrac{2}{3}=\dfrac{-87}{140}\)

Vậy...

DT
2 tháng 10 2023

loading...  Bạn tham khảo.

29 tháng 6 2019

\(a,\frac{1}{2}x+\frac{5}{2}=\frac{7}{2}x-\frac{3}{4}\)

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

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

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

\(\Leftrightarrow-3x=-\frac{13}{4}\)

\(\Leftrightarrow x=-\frac{13}{4}:(-3)=-\frac{13}{4}:\frac{-3}{1}=-\frac{13}{4}\cdot\frac{-1}{3}=\frac{13}{12}\)

29 tháng 6 2019

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

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

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

\(\Leftrightarrow\frac{1}{6}x-\frac{2}{5}=-\frac{1}{3}\)

\(\Leftrightarrow\frac{1}{6}x=\frac{1}{15}\)

\(\Leftrightarrow x=\frac{1}{15}:\frac{1}{6}=\frac{1}{15}\cdot6=\frac{6}{15}=\frac{2}{5}\)

\(c,\frac{1}{3}x+\frac{2}{5}(x+1)=0\)

\(\Leftrightarrow\frac{1}{3}x+\frac{2}{5}x+\frac{2}{5}=0\)

\(\Leftrightarrow\frac{11}{15}x=-\frac{2}{5}\)

\(\Leftrightarrow x=-\frac{6}{11}\)

d,e,f Tương tự

7 tháng 7 2017

a) \(x=-\frac{7}{12}\)

b) \(x=-\frac{13}{4}\)

c) \(x=\frac{7}{24}\)

d) \(x=\frac{49}{180}\)

e) \(x=-10\)

g) \(x=15\)

h) \(\orbr{\begin{cases}x=0\\x=1\end{cases}}\)