`a)4/5:3/x xx2/11=24/165`

`(4/5xx2/11)xx 3/x=8/55`

`8/55xx3/x=8/55`

`3/x=8/55:8/55`

`3/x=1`

`3:x=1`

`x=3:1`

`x=3`

____________________________________________

`b)4/3:x/5=5/13xx4/9`

`4/3:x/5=20/117`

`x/5=4/3:20/117`

`x/5=39/5`

`x=39`

A) 4/5:3/x X 2/11=24/165

\(\dfrac{4}{5}:\dfrac{3}{x}X\dfrac{2}{11}=\dfrac{24}{165}\)

\(\dfrac{3}{x}=\dfrac{24}{165}:\dfrac{4}{5}:\dfrac{2}{11}\)

\(\dfrac{3}{x}=1\)

\(\dfrac{3}{x}=\dfrac{3}{3}\)

=> x=3

B) \(\dfrac{4}{3}:\dfrac{x}{5}=\dfrac{5}{13}x\dfrac{4}{9}\)

\(\dfrac{4}{3}:\dfrac{x}{5}=\dfrac{20}{117}\)

\(\dfrac{x}{5}=\dfrac{4}{3}:\dfrac{20}{117}\)

\(\dfrac{x}{5}=\dfrac{39}{5}\)

=> x = 39

a: \(x+6\dfrac{1}{8}=8\)

=>\(x+\dfrac{49}{8}=\dfrac{64}{8}\)

=>\(x=\dfrac{64}{8}-\dfrac{49}{8}=\dfrac{15}{8}\)

b: \(\dfrac{11}{2}\cdot x=\dfrac{1}{5}:\dfrac{1}{3}\)

=>\(x\cdot\dfrac{11}{2}=\dfrac{1}{5}\cdot3=\dfrac{3}{5}\)

=>\(x=\dfrac{3}{5}:\dfrac{11}{2}=\dfrac{3}{5}\cdot\dfrac{2}{11}=\dfrac{6}{55}\)

c: \(x\cdot\dfrac{3}{5}+\dfrac{2}{5}\cdot x=\dfrac{4}{9}+\dfrac{1}{3}\)

=>\(x\left(\dfrac{3}{5}+\dfrac{2}{5}\right)=\dfrac{4}{9}+\dfrac{3}{9}\)

=>\(x\cdot1=\dfrac{7}{9}\)

=>\(x=\dfrac{7}{9}\)

\(1.x^2+11x=0\)

\(\Leftrightarrow x\left(x+11\right)=0\)

\(\Leftrightarrow\orbr{\begin{cases}x=0\\x+11=0\end{cases}}\)

\(\Leftrightarrow\orbr{\begin{cases}x=0\\x=-11\end{cases}}\)

\(2.\left(x^2-1\right)\left(x^2-9\right)=0\)

\(\Leftrightarrow\left(x+1\right)\left(x-1\right)\left(x+9\right)\left(x-9\right)=0\)

chia thành 4 TH :

\(TH1:X-1=0\)

\(\Leftrightarrow x=1\)

\(TH2:x+1=0\)

\(\Leftrightarrow x=-1\)

\(TH3:X+9=0\)

\(\Leftrightarrow X=-9\)

\(TH4:x-9=0\)

\(\Leftrightarrow x=9\)

Kết luận ....

\(3.\left(\left|x+1\right|-5\right)\left(x^2-9\right)\)

\(\Leftrightarrow\left(\left|x+1\right|-5\right)\left(x-3\right)\left(x+3\right)=0\)

\(\Leftrightarrow\hept{\begin{cases}\left|x+1\right|-5=0\\x-3=0\\x+3=0\end{cases}}\)

\(\Leftrightarrow\hept{\begin{cases}\left|x+1\right|=5\\x=3\\x=-3\end{cases}}\)

\(\Leftrightarrow\hept{\begin{cases}x+1=+_-5\Leftrightarrow x+1=5,x+1=-5\Leftrightarrow x=4,x=-6\\x=3x\\x=-3\end{cases}}\)

kết luận x=.....

\(4.\left(3x-16\right)⋮\left(x+2\right)\)

\(\Leftrightarrow\left(3x+6\right)-22\)

\(\Leftrightarrow3\left(x+2\right)-22⋮\left(x+2\right)\)

Vì\(\left(x+2\right)⋮\left(x+2\right)\)

\(\Rightarrow\left(3x-16\right)⋮\left(x+2\right)\)

Kết luận x=.....

2/3:x=7/10                                X x5/9=5/18

      x=7/10:2/3                                  x=5/18:5/9

      x=21/20                                      x=1/2

\(x\times7+x\times9-x-x\times5=790\)

          \(x\times\left(7+9-1-5\right)=790\)

                                      \(x\times10=790\)

                                                 \(x=790:10\)

                                                 \(x=79\)

(x-5)(x-5) =16.9
(x-5)^2=144
=> x-5= 12 hoặc x-5=-12
=>x=17      hoặc x= -7
mình ngĩ đề là chia nên chỉ lm 1 thôi. hy`  

Nếu chia thì bằng -7 còn nhân thì bằng 5. Mk chỉ pt v thuj!^^

x=17 hoặc x=-7

a) \(\left(x^2-9\right)\cdot\left(4^x-16\right)=0\)

\(\Rightarrow x^2-9=0\)hoặc \(4^x-16=0\)

               \(x^2=9\)                     \(4^x=16\)

               \(x^2=\left(\pm3\right)^2\)         \(4^x=4^2\)                

\(\Rightarrow x=\pm3\)hoặc \(x=2\)

b) \(5^x+5^{x+2}=650\)

\(\Rightarrow5^x+5^x\cdot25=650\)

\(\Rightarrow5^x\cdot\left(1+25\right)=650\)

\(\Rightarrow5^x\cdot26=650\)

\(\Rightarrow5^x=650\div26=25\)

\(\Rightarrow5^x=5^2\)

\(\Rightarrow x=2\)Vậy \(x=2\)

c) \(2^{x+2}-2^x=96\)

\(2^x\cdot4-2^x=96\)

\(2^x\cdot\left(4-1\right)=96\)

\(2^x\cdot3=96\)

\(2^x=96\div3=32\)

\(2^x=2^5\)Vậy \(x=5\)

1. X : (-1/3)^2=-1/3

   X : 1/9       =-1/3

  X=   -1/3 : 1/9

   X=   -3

2. X : 0,16 =9:X

   X = 9 : X . 0,16

   X =(9.0,16):X

   X =1,44:X

  X . X=1,44

     X² =1,44

=>X= 1,2

3. (-1/2)^3 . X=(-1/2)^5

     -1/8     .  X=-1/32

           X      =-1/32 : -1/8

          X       =0,25

4. |X+4/5| - 1/7 = 0

    |X+4/5|=0+1/7

    |X+4/5|=1/7

=>X+4/5=1/7 HOẶC X + 4/5 = -1/7

Nếu X+4/5=1/7

       X=1/7- 4/5

       X=-23/35

Nếu X+4/5 =- 1/7

       X=-1/7 - 4/5

      X=-33/35

Đọc đề hơi băn khoăn. $2 x 5$ là $\overline{2x5}$ hả bạn?

X= 37 + 2 x 5

x=37+10

x=47