x+4/7=3/4                   x-3/4=2/5                 x x 2/3=3/4x1/2

x=3/4-4/7                     x=2/5+3/4               x x2/3=3/8

x=21/28-16/28             x=8/20+15/20          x=3/8:2/3

x=5/28                          x=23/20                   x=9/16

1. Đề:...........

<=> x = 3/4 - 4/7

<=> x = 5/28

Vậy x = 5/28

2. Đề:............

<=> x = 2/5 + 3/4

<=> x = 23/20

Vậy x = 23/20

3. Đề:..........

<=> x. 2/3 = 3/8

<=> x = 3/8. 3/2

<=> x = 9/16

Vậy x = 9/16

Đặt \(t=2^x\)

Phương trình sẽ trở thành:

\(-t^2+3t-2=0\)

=>\(\left(t^2-3t+2\right)=0\)

=>\(\left(t-1\right)\left(t-2\right)=0\)

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

=>\(\left[{}\begin{matrix}x=0\\x=1\end{matrix}\right.\)

\(x_1+x_2=0+1=1\)

\(x\)là dấu nhân hả bạn? Nếu vậy thì mk làm cho nhé

\(A=\left(1-\frac{1}{2}\right)\cdot\left(1-\frac{1}{3}\right)\cdot\left(1-\frac{1}{4}\right)\cdot....\cdot\left(1-\frac{1}{20}\right)\)

\(A=\frac{1}{2}\cdot\frac{2}{3}\cdot\frac{3}{4}\cdot.......\cdot\frac{17}{18}\cdot\frac{18}{19}\cdot\frac{19}{20}=\frac{1}{20}\)

Vậy \(A=\frac{1}{20}\)

\(B=1\frac{1}{2}\cdot1\frac{1}{3}\cdot1\frac{1}{4}\cdot........\cdot1\frac{1}{2005}\cdot1\frac{1}{2006}\cdot1\frac{1}{2007}\)

\(B=\frac{3}{2}\cdot\frac{4}{3}\cdot\frac{5}{4}\cdot......\cdot\frac{2006}{2005}\cdot\frac{2007}{2006}\cdot\frac{2008}{2007}=\frac{2008}{2}=1004\)

Vậy \(B=1004\)

DẤU CHẤM LÀ DẤU NHÂN

a, 

\(=\frac{1}{2}.\frac{2}{3}.\frac{3}{4}....\frac{19}{20}=\frac{1}{20}\)

b, \(1\frac{1}{2}.1\frac{1}{3}....1\frac{1}{2017}=\frac{3}{2}.\frac{4}{3}....\frac{2018}{2017}=\frac{2018}{2}=1009\)

giúp e 

\(\frac{1}{1}\cdot\frac{1}{2}+\frac{1}{2}\cdot\frac{1}{3}+\frac{1}{3}\cdot\frac{1}{4}+\frac{1}{4}\cdot\frac{1}{5}+\frac{1}{5}\cdot\frac{1}{6}=\)

\(\frac{1}{1\cdot2}+\frac{1}{2\cdot3}+\frac{1}{3\cdot4}+\frac{1}{4\cdot5}+\frac{1}{5\cdot6}=\)

\(\frac{1}{1}-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}=\)

\(\frac{1}{1}-\frac{1}{6}=\frac{5}{6}\)

k nha gõ mỏi tay lắm

149/240

nguyễn trần đức kông bn phải giải rõ ràng ra chứ, 

\(x\cdot3:x+2\cdot6:4+x:0,5+0,25+x\cdot1=35\)

=>\(3+3+2x+0,25+x=35\)

=>3x+6,25=35

=>3x=35-6,25=28,75

=>\(x=\dfrac{28.75}{3}=\dfrac{115}{12}\)

1/24

2/3

3/8

6

1/24

2/3

3/8

6

1/24

2/3

3/8

6

\(\Leftrightarrow\left(\dfrac{3}{4}\right)^x.\left(\dfrac{4}{3}\right)^{\dfrac{4}{x}}=\dfrac{9}{16}\)

\(\Rightarrow\left(\dfrac{3}{4}\right)^x.\left(\dfrac{3}{4}\right)^{-\dfrac{4}{x}}=\left(\dfrac{3}{4}\right)^2\)

\(\Rightarrow\left(\dfrac{3}{4}\right)^{x-\dfrac{4}{x}}=\left(\dfrac{3}{4}\right)^2\)

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

\(\Rightarrow x^2-2x-4=0\)

Viet: \(x_1+x_2=2\)

Bạn nên viết đề bằng công thức toán (biểu tượng $\sum$ góc trái khung soạn thảo) để được hỗ trợ tốt hơn.