\(\frac{1}{5.8}+\frac{1}{8.11}+\frac{1}{11.14}+...+\frac{1}{x\left(x+3\right)}=\frac{1}{18}\)

\(\Leftrightarrow\frac{1}{3}.\left(\frac{3}{5.8}+\frac{3}{8.11}+\frac{3}{11.14}+.....+\frac{3}{x\left(x+3\right)}\right)=\frac{1}{18}\)

\(\Leftrightarrow\frac{1}{3}.\left(\frac{1}{5}-\frac{1}{8}+\frac{1}{8}-\frac{1}{11}+\frac{1}{11}-\frac{1}{14}+....+\frac{1}{x}-\frac{1}{x+3}\right)=\frac{1}{18}\)

\(\Leftrightarrow\frac{1}{3}.\left(\frac{1}{5}-\frac{1}{x+3}\right)=\frac{1}{18}\Leftrightarrow\frac{1}{5}-\frac{1}{x+3}=\frac{1}{18}:\frac{1}{3}=\frac{1}{6}\)

\(\Leftrightarrow\frac{1}{x+3}=\frac{1}{5}-\frac{1}{6}=\frac{1}{30}\)

<=>x+3=30

<=>x=27

Vậy x=27

`[ ( 2 xx x - 11 ) : 3 + 1 ] xx 5 = 20`

`( 2 xx x - 11 ) : 3 + 1=20:5`

`( 2 xx x - 11 ) : 3 + 1=4`

`( 2 xx x - 11 ) : 3 =4-1`

`( 2 xx x - 11 ) : 3 =3`

`2xx x -11=3xx3`

`2xx x -11=9`

`2xx x =9+11`

`2 xx x=20`

`x=20:2`

`x=10`

Vậy `x=10`

`b,  x - 96 = ( 443 - x ) - 15`

`x-96=443-x-15`

` x+x=443-15+96`

`2x=524`

`x=524:2`

`x= 262`

Vậy `x=262`

\(#Nqoc\)

`a)`

\([ ( 2 \times x - 11 ) \div 3 + 1 ] \times 5 = 20\)

`(2 \times x - 11) \div 3 + 1 = 20 \div 5`

`(2 \times x - 11) \div 3 + 1 = 4`

`(2 \times x - 11) \div 3 = 4  - 1`

`(2 \times x - 11) \div 3 = 3`

`2 \times x - 11 = 3 \times 3`

`2 \times x - 11 = 9`

`2 \times x = 9 + 11`

`2 \times x = 20`

`x = 20 \div 2`

`x = 10`

Vậy, `x = 10`

`b)`

\(x - 96 = ( 443 - x ) - 15\)

`x - 96 = 443 - x - 15`

`x - 96 = 428 - x`

`x = 428 - x + 96`

`x = 524 - x`

`x - 524 + x = 0`

`(x + x) - 524 = 0`

`2x - 524 = 0`

`2x = 524`

`x = 524 \div 2`

`x = 262`

Vậy, `x = 262.` 

hiii mong bạn hiểu

A

\(\text{A.}1\)

1

(\(x\) + 2)ⁿ⁺¹ = ( \(x\) + 2)ⁿ⁺¹¹

(\(x+2\))ⁿ⁺¹ -  ( \(x\) + 2)ⁿ⁺¹¹ = 0

(\(x\) + 2)ⁿ⁺¹.(  1 + (\(x\) + 2)¹⁰) = 0

(\(x\) + 2)¹⁰ + 1 > 0 ∀ \(x\)

=> (\(x\) + 2)ⁿ⁺¹ = 0 ⇒ \(x\) + 2  = 0 ⇒ \(x\) = -2

vậy \(x\) = -2