ta có \(5^2.7^3.11^2.x+5^3.7^2.11=0< =>5^2.7^2.11\left(77x+1\right)=0\)

<=> \(77x+1=0< =>x=-\frac{1}{77}\)

\(5^2.7^3.11^2.x+5^3.7^2.11=0\)

=>\(5^2.7^2.11.\left(77x+5\right)=0\)

=>\(77x+5=0\)

=>77x=-5

=>\(x=-\dfrac{5}{77}\)

\(5^2.7^3.11^2.x+5^3.7^2.11=0\)

\(5^2.7^2.11.\left(77x+5\right)=0\)

\(77x+5=0\)

\(77x=-5\)

\(x=\dfrac{-5}{77}\)

\(5^2.7^3.11^2.x+5^3.7^2.11=0\)

\(\Leftrightarrow5^2.7^2.11\left(7.11.x+5\right)=0\)

\(\Leftrightarrow77x+5=0\)

\(\Leftrightarrow77x=-5\)

\(\Leftrightarrow x=-\frac{5}{77}\)

1. Tìm x, biết:

a) \(\frac{4}{x}=\frac{8}{6}\). Ta có: \(\frac{8}{6}=\frac{8:2}{6:2}=\frac{4}{3}\Rightarrow x=3\)

b) \(\frac{3}{x-5}=\frac{4}{x+2}\). Ta có: \(5-2=3\)

\(\Rightarrow x=\left(3.5\right)+\left(4.2\right)+3=15+8+3=26\)

c) \(\frac{x}{-2}=\frac{-8}{x}\Rightarrow x=\left(-8\right):\left(-2\right)=4\)

2. Rút gọn

a) \(\frac{2^4.5^2.11^2.7}{2^3.5^3.7^2.11}\Leftrightarrow\frac{2^3.2^1.5^2.11.11.7}{2^3.5^2.5^1.7.7.11}\Leftrightarrow\frac{2^1.11}{5^1.7}=\frac{22}{35}\)

b) Tương tự

c) Tương tự

\(\frac{4}{x}=\frac{8}{6}\Rightarrow x=\frac{4.6}{8}=3\)

\(\frac{3}{x-5}=\frac{-4}{x+2}\Rightarrow3\left(x+2\right)=-4\left(x-5\right)\)

                                \(\Rightarrow3x+6=-4x+20\)

                                \(\Rightarrow3x+4x=20-6\)

                                \(\Rightarrow7x=14\)

                                \(\Rightarrow x=2\)

\(\frac{x}{-2}=\frac{-8}{x}\Rightarrow x^2=\left(-8\right)\left(-2\right)=16\Rightarrow x=\pm4\)

\(\frac{4}{x}=\frac{8}{6}\)

\(\Rightarrow4\cdot6=x\cdot8\)

\(\Rightarrow x=\frac{4\cdot6}{8}\)

\(\Rightarrow x=3\)

BT1 :thực hành phép tính

4/3+-11/31+3/10-20/31-2/5 = 7/30

7/12-1/-16+3/4 = 67/48

2/11.-5/4+-9/11.5/4+ 1 và 3/4 = -1/4 * và 3/4 là sao bạn *

-9/27-25/75 = -2/3

`5x - 20 - x - 2 = 2x - 6`

`<=> 4x - 22  = 2x - 6`

`<=> 2x = 16`

`<=>x=8`

=>5x-20-x-2=2x-6

=>4x-22=2x-6

=>2x=16

=>x=8