Mình nghĩ bạn chép sai đề rồi. Hãy kiểm tra và sửa lại đề nhé

a.

\(\left(\frac{11}{12}+\frac{11}{12\times23}+\frac{11}{23\times34}+...+\frac{11}{89\times100}\right)+x=\frac{2}{3}\)

\(\left(\frac{11}{12}+\frac{1}{12}-\frac{1}{23}+\frac{1}{23}-\frac{1}{34}+...+\frac{1}{89}-\frac{1}{100}\right)+x=\frac{2}{3}\)

\(\left(\frac{11}{12}+\frac{1}{12}-\frac{1}{100}\right)+x=\frac{2}{3}\)

\(\left(\frac{12}{12}-\frac{1}{100}\right)+x=\frac{2}{3}\)

\(\left(1-\frac{1}{100}\right)+x=\frac{2}{3}\)

\(\left(\frac{100-1}{100}\right)+x=\frac{2}{3}\)

\(\frac{99}{100}+x=\frac{2}{3}\)

\(x=\frac{2}{3}-\frac{99}{100}\)

\(x=\frac{200-297}{300}\)

\(x=-\frac{97}{300}\)

b.

\(\left(\frac{2}{11\times13}+\frac{2}{13\times15}+...+\frac{2}{19\times21}\right)-x+\frac{221}{231}=\frac{4}{3}\)

\(\left(\frac{1}{11}-\frac{1}{13}+\frac{1}{13}-\frac{1}{15}+...+\frac{1}{19}-\frac{1}{21}\right)+\frac{221}{231}-x=\frac{4}{3}\)

\(\left(\frac{1}{11}-\frac{1}{21}\right)+\frac{221}{231}-x=\frac{4}{3}\)

\(\left(\frac{21-11}{231}\right)+\frac{221}{231}-x=\frac{4}{3}\)

\(\frac{10}{231}+\frac{221}{231}-x=\frac{4}{3}\)

\(\frac{231}{231}-x=\frac{4}{3}\)

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

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

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

\(x=-\frac{1}{3}\)

Chúc bạn học tốt

3(x-12)=36

=>x-12=36:3

=>x-12=12

=>x=12+12

=>x=24

tíc mình nha

\(\Leftrightarrow\left(\dfrac{1}{11}-\dfrac{1}{13}+\dfrac{1}{13}-\dfrac{1}{15}+...+\dfrac{1}{19}-\dfrac{1}{21}\right)-x+\dfrac{221}{231}=\dfrac{4}{3}\)

\(\Leftrightarrow\dfrac{10}{231}+\dfrac{221}{231}-x=\dfrac{4}{3}\)

=>1-x=4/3

hay x=-1/3

a) \(2x-138=2^3.3^2\)

\(\Rightarrow2x-138=72\)

\(\Rightarrow2x=210\)

\(\Rightarrow x=105\)

b) \(231-\left(x-6\right)=1339:13\)

\(\Rightarrow231-\left(x-6\right)=103\)

\(\Rightarrow x-6=110\)

\(\Rightarrow x=116\)

a) \(2.x-138=2^3.3^2\)

\(2.x-138=8.9\)

\(2.x-138=72\)

\(2x=72+138\)

\(2x=210\)

\(x=210:2\)

\(x=105\)

\(231-\left(x-6\right)=1339:13\)

\(231-\left(x-6\right)=103\)

\(x-6=231-103\)

\(x-6=128\)

\(x=128+6\)

\(x=134\)

\(2x-138=2^3.3^2\)

\(2x-138=8.9\)

\(2x-138=72\)

              \(2x=72+138\)

              \(2x=210\)

                 \(x=210:2\)

                 \(x=105\)

b)\(231-\left(x-6\right)=1339:13\)

   \(231-\left(x-6\right)=103\)

                 \(\left(x-6\right)=231-103\)

                 \(\left(x-6\right)=128\)

                               \(x=128+6\)

                               \(x=134\)

T mk nhé bạn ^...^ ^_^

a/ => x -  x +  3 = 0 => 0 = -3 (vô lí)

Vậy vô nghiệm

b/ => 231 - (x - 6) = 1331/13

=> x - 6 = 1672/13

=> x = 1750/13

Để số là số thập phân lẻ lắm. Nó ra 134,6153846.....

a, 2.3^\(x+1\) + 38  = 2³.5²

   2.3\(^{x+1}\) + 38    = 200

   2.3\(^{x+1}\)            = 200 - 38

  2.3\(^{x+1}\)             = 162

    3\(^{x+1}\)            = 162 : 2

    3\(^{x+1}\)           = 81

    3\(^{x+1}\)           = 3⁴

     \(x+1\)        = 4

      \(x\)             = 3 

b, 2\(^{x+1}\)  + 4.2\(^x\) = 3.2⁵

   2\(^x\).(2 + 4) = 96

  2\(^x\).6         = 96

  2\(^x\)            = 96 : 6

  2\(^x\)            = 16

 2\(^x\)             = 2⁴

   \(x\)             = 4

d) (2x + 15) + 18 = 5⁵ : 5³

(2x + 15) + 18 = 5²

(2x + 15) + 18 = 25

2x + 15 = 25 - 18

2x + 15 = 7

2x = 7 - 15

2x = -8

x = -8 : 2

x = -4