3) \(x\left(x-4\right)+\left(x-4\right)^2=0\Leftrightarrow\left(x-4\right)\left(x+x-4\right)=0\Leftrightarrow2\left(x-4\right)\left(x-2\right)=0\)

\(\Leftrightarrow\left[{}\begin{matrix}x-4=0\\x-2=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=4\\x=2\end{matrix}\right.\)

4x.(x+1)-8(x+1)=0

(4x-8)(x+1)=0

suy ra x=2 hoặc x=-1

1) \(4x\left(x+1\right)=8\left(x+1\right)\Leftrightarrow4x^2+4x=8x+8\Leftrightarrow4x^2-4x-8=0\Leftrightarrow x^2-x-2=0\Leftrightarrow\left(x-2\right)\left(x+1\right)=0\)

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

a) x + 1/15 = 1/3 - 1/4 = 4/12 - 3/12 = 1/12.

=> x = 1/12 - 1/15 = 5/60 - 4/60 = 1/60.

b) x - 5/12 = 1/3 + 1/4 = 4/12 + 3/12 = 7/12.

=> x = 7/12 + 5/12 = 1

c) x x 2/7 = 3/4 x 4/15 = 1/5

=> x = 1/5 : 2/7 = 1/5 x 7/2 = 7/10

d) x : 3/8 = 4/3 : 3/6 = 4/3 x 2 = 8/3

=> x = 8/3 x 3/8 = 1

Bài giải

\(\left(\frac{1}{4}\text{ x }x-\frac{1}{8}\right)\text{ x }\frac{3}{4}=\frac{1}{4}\)

\(\left(\frac{1}{4}\text{ x }x-\frac{1}{8}\right)=\frac{1}{4}\text{ : }\frac{3}{4}\)

\(\frac{1}{4}\text{ x }x-\frac{1}{8}=\frac{1}{3}\)

\(\frac{1}{4}\text{ x }x=\frac{1}{3}+\frac{1}{8}\)

\(\frac{1}{4}\text{ x }x=\frac{11}{24}\)

\(x=\frac{11}{24}\text{ : }\frac{1}{4}=\frac{11}{24}\text{ x }4\)

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

\(\left(\frac{1}{4}\times a-\frac{1}{8}\right)\times\frac{3}{4}=\frac{1}{4}\)

\(\Rightarrow\frac{1}{4}\times a-\frac{1}{8}=\frac{1}{4}:\frac{3}{4}\)

\(\Rightarrow\frac{1}{4}\times a-\frac{1}{8}=\frac{1}{3}\)

\(\Rightarrow\frac{1}{4}\times a=\frac{1}{3}+\frac{1}{8}\)

\(\Rightarrow\frac{1}{4}\times a=\frac{11}{24}\)

\(\Rightarrow a=\frac{11}{24}:\frac{1}{4}\)

\(\Rightarrow a=\frac{11}{6}\)

Bài giải

\(\left(\frac{1}{4}\text{ x }x-\frac{1}{8}\right)\text{ x }\frac{3}{4}=\frac{1}{4}\)

\(\left(\frac{1}{4}\text{ x }x-\frac{1}{8}\right)=\frac{1}{4}\text{ : }\frac{3}{4}\)

\(\frac{1}{4}\text{ x }x-\frac{1}{8}=\frac{1}{3}\)

\(\frac{1}{4}\text{ x }x=\frac{1}{3}+\frac{1}{8}\)

\(\frac{1}{4}\text{ x }x=\frac{11}{24}\)

\(x=\frac{11}{24}\text{ : }\frac{1}{4}=\frac{11}{24}\text{ x }4\)

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

1: =>x=3/5-1/5=2/5

b: =>x/3=5/8+1/8=3/4

=>x=9/4

3: =>10/3x=3+1/4+6+3/4=10

=>x=10:10/3=3

1: x=3/4-1/2=3/4-2/4=1/4

2: x-1/5=2/11

=>x=2/11+1/5=21/55

3: x-5/6=16/42-8/56

=>x-5/6=8/21-4/28=5/21

=>x=5/21+5/6=15/14

4: x/5=5/6-19/30

=>x/5=25/30-19/30=6/30=1/5

=>x=1

5: =>|x|=1/3+1/4=7/12

=>x=7/12 hoặc x=-7/12

6: x=-1/2+3/4

=>x=3/4-1/2=1/4

11: x-(-6/12)=9/48

=>x+1/2=3/16

=>x=3/16-1/2=-5/16

1)x= 1/4

2)x= 2/11+ 1/5

   x= 21/55

3)x - 5/6 = 5/21

   x         = 5/21+5/6

   x         = 15/14

4)x/5 = 5/6 + -19/30

   x:5 = 1/5

   x    = 1/5.5

   x    = 1

5) |x| - 1/4 = 6/18

    |x|           = 6/18 - 1/4

    |x|            =7/12

⇒x= 7/12 hoặc -7/12

6)x = -1/2 +3/4

   x= 1/4

7) x/15 = 3/5 + -2/3

   x:15  = -1/15

  x        = -1/15. 15

  x        = -1

8)11/8 + 13/6 = 85/x  

       85/24      = 85/x

  ⇒      x           = 24

9) x - 7/8 = 13/12

   x          = 13/12 + 7/8

   x          = 47/24

10)x - -6/15 = 4/27  

     x            = 4/27 + (-6/15)

    x             = -34/135

11) -(-6/12)+x = 9/48

                    x= 9/48 - 6/12

                    x = -5/16

12) x - 4/6 = 5/25 + -7/15

      x -4/6  =  -4/15

     x           = -4/15 + 4/6

    x             = 2/5

bài 1 : a,ta có 3/x-1 =4/y-2=5/z-3 =>  x-1/3=y-2/4=z-3/5 

áp dụng .... => x-1+y-2+z-3 / 3+4+5 = x+y+z-1-2-3/3+4+5 = 12/12=1

do x-1/3 = 1 => x-1 = 3 => x= 4 ( tìm y,z tương tự

Bài 1: 

a) Ta có: 3/x - 1 = 4/y - 2 = 5/z - 3 => x - 1/3 = y - 2/4 = z - 3/5 áp dụng ... =>x - 1 + y - 2 + z - 3/3 + 4 + 5 = x + y + z - 1 - 2 - 3/3 + 4 + 5 = 12/12 = 1 do x - 1/3 = 1 => x - 1 = 3 => x = 4 ( tìm y, z tương tự )

cũng dễ thôi

a, \(x\) \(\times\) \(\dfrac{1}{2}\) - \(\dfrac{3}{4}\) = \(\dfrac{5}{6}\)

    \(x\) \(\times\) \(\dfrac{1}{2}\)       = \(\dfrac{5}{6}\) + \(\dfrac{3}{4}\)

   \(x\)   \(\times\) \(\dfrac{1}{2}\)      =  \(\dfrac{19}{12}\)

   \(x\)                = \(\dfrac{19}{12}\) : \(\dfrac{1}{2}\)

  \(x\)                 =   \(\dfrac{19}{6}\)

b, \(x\) : \(\dfrac{1}{2}\) - \(\dfrac{3}{4}\) = \(\dfrac{5}{6}\)

    \(x\): \(\dfrac{1}{2}\)        = \(\dfrac{5}{6}\) + \(\dfrac{3}{4}\)

   \(x\) : \(\dfrac{1}{2}\)        = \(\dfrac{19}{12}\)

   \(x\)              =   \(\dfrac{19}{12}\)  \(\times\) \(\dfrac{1}{2}\) 

   \(x\)              =  \(\dfrac{19}{24}\)

c, \(x\) \(\times\) \(\dfrac{3}{4}\) + \(x\) \(\times\) \(\dfrac{1}{4}\) = \(\dfrac{7}{8}\)

    \(x\) \(\times\) ( \(\dfrac{3}{4}\) + \(\dfrac{1}{4}\)) = \(\dfrac{7}{8}\)

   \(x\)   \(\times\) 1 = \(\dfrac{7}{8}\)

   \(x\)     = \(\dfrac{7}{8}\)

d, \(x\times\) \(\dfrac{3}{4}\) - \(x\) \(\times\) \(\dfrac{1}{4}\) = \(\dfrac{7}{8}\)

    \(x\) \(\times\) ( \(\dfrac{3}{4}\) - \(\dfrac{1}{4}\)) = \(\dfrac{7}{8}\)

    \(x\) \(\times\) \(\dfrac{1}{2}\)  = \(\dfrac{7}{8}\)

   \(x\)           = \(\dfrac{7}{8}\) : \(\dfrac{1}{2}\)

   \(x\)          = \(\dfrac{7}{4}\)

a) \(6.8^{x-1}+8^{x+1}=6.8^{19}+8^{21}\)

\(\Rightarrow x-1+x+1=19+21\)

\(=2x=40\)

\(\Rightarrow x=20\)

b) \(4.3^{x-1}+2.3^{x+2}=4.3^6+2.3^9\)

\(\Rightarrow x-1+x+2=6+9\)

\(\Rightarrow2x+1=15\)

\(\Rightarrow2x=14\)

\(\Rightarrow x=7\)

1: =>x=8-35=-27

2: =>15-4+x=6

=>x+11=6

hay x=-5

3: =>-30+25-x=-1

=>x+5=1

hay x=-4

4: =>x-(-13)=-8

=>x+13=-8

hay x=-21

5: =>x-29-17+38=-9

=>x-8=-9

hay x=-1