không biết làm bài này hả

a. \(8x\left(x-2007\right)-2x+4034=0\)

\(\Rightarrow\left(x-2017\right)\left(4x-1\right)\)

\(\Rightarrow\left[{}\begin{matrix}x-2017=0\\4x-1=0\end{matrix}\right.\)

\(\Rightarrow\left[{}\begin{matrix}x=2017\\4x=1\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=2017\\x=\dfrac{1}{4}\end{matrix}\right.\)

Vậy x=2017 hoặc x=1/4

b.\(\dfrac{x}{2}+\dfrac{x^2}{8}=0\)

\(\Rightarrow\dfrac{x}{2}\left(1+\dfrac{x}{4}\right)=0\)

\(\Leftrightarrow\left[{}\begin{matrix}\dfrac{x}{2}=0\\1+\dfrac{x}{4}=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=0\\\dfrac{x}{4}=-1\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=0\\x=-4\end{matrix}\right.\)

Vậy x=0 hoặc x=-4

c.\(4-x=2\left(x-4\right)^2\)

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

\(\Rightarrow\left(4-x\right)\left(2x-7\right)=0\)

\(\Leftrightarrow\left[{}\begin{matrix}4-x=0\\2x-7=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=4\\x=\dfrac{7}{2}\end{matrix}\right.\)

Vậy x=4 hoặc x=7/2

d.\(\left(x^2+1\right)\left(x-2\right)+2x=4\)

\(\Rightarrow\left(x-2\right)\left(x^2+3\right)=0\)

Nxet: (x²+3)>0 với mọi x

=> x-2=0 <=>x=2

Vậy x=2

a, 8\(x\).(\(x-2007\)) - 2\(x\) + 4034 = 0

     4\(x\)(\(x\) - 2007) - \(x\) + 2017 = 0

     4\(x^2\) - 8028\(x\) - \(x\) + 2017 = 0

     4\(x^2\) - 8029\(x\) + 2017 = 0

     4(\(x^2\) - 2. \(\dfrac{8029}{8}\) \(x\) +( \(\dfrac{8029}{8}\))²) - (\(\dfrac{8029}{4}\))²  + 2017 = 0

    4.(\(x\) + \(\dfrac{8029}{8}\))² = (\(\dfrac{8029}{4}\))² - 2017

       \(\left[{}\begin{matrix}x=-\dfrac{8029}{8}+\dfrac{1}{2}.\sqrt{\left(\dfrac{8029}{4}\right)^2-2017}\\x=-\dfrac{8029}{8}-\dfrac{1}{2}.\sqrt{\left(\dfrac{8029}{4}\right)^2-2017}\end{matrix}\right.\) 

2+6+12+20+...+90

Cách tính mk ko rành lắm xin các anh chị giúp đỡ 

đáp án là : 330

t nha

A = 1 x 2 + 2 x 3 + 3 x 4 + 4 x 5 + ... + 9 x 10

A x 3 = 1 x 2 x 3 + 2 x 3 x 3 + 3 x 4 x 3  + ... + 9 x 10 x 3

A x 3 = 1 x 2 x 3 + 2 x 3 x ( 4 - 1 ) + 3 x 4 ( 5 - 2 ) + ... + 9 x 10 x ( 11 - 8 )

A x 3 = 1 x 2 x 3 + 2 x 3 x 4 - 1 x 2 x 3 + 3 x 4 x 5 - 2 x 3 x 4 + 4 x 5 x 6 - 3 x 4 x 5 + ... + 9 x 10 x 11 - 8 x 9 x 10

A x 3 = 9 x 10 x 11

A = 9 x 10 x 11 : 3

A = 330

  Vậy A = 330

Đặt A = 1.2 + 2.3 + 3.4 + 4.5 + ... + 9.10

=> 3A = = 1.2.3 + 2.3.( 4 - 1 ) + 3.4. ( 5 - 2 ) + ... + 9.10.( 11 - 8 )

=> 3A = 1.2.3 - 1.2.3 + 2.3.4 - 2.3.4 + 3.4.5 - 3.4.5 + ...... + 8.9.10 - 9.10.11

=> 3A = 9.10.11

=> A = 9.10.11 : 3

Vậy A = 330

  Vậy A = 330

Đặt S=

1 x 2 + 2 x 3 + 3 x 4 + 4 x 5 + ............. + 9 x 10 

=>3S + 1.2.3+2.3.3+...+99.100.3

=>1.2.3+2.3(4-1)+3.4(5-2)+...+99.100(101-98)

=>1.2.3+2.3.4-1.2.3+3.4.5+-2.3.4+...+99.100.101-98.100.101

=>99.100.101=999900

=>S=333300

Tìm X

\(\left(1-\frac{1}{2}\right)\times\left(1-\frac{1}{3}\right)\times\left(1-\frac{1}{4}\right)\times\left(1-\frac{1}{5}\right)\)

\(=\frac{1}{2}\times\frac{2}{3}\times\frac{3}{4}\times\frac{4}{5}\)

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

\(\Rightarrow x-100=\frac{1}{5}\)

\(x=\frac{1}{5}+100\)

\(x=\frac{1}{5}+\frac{500}{5}\)

\(x=\frac{501}{5}\)

\(2\frac{3}{4}.\frac{1}{2}-\frac{1}{2}.\frac{3}{7}+\frac{1}{3}\)

\(=\frac{11}{4}.\frac{1}{2}-\frac{1}{2}.\frac{3}{7}+\frac{1}{3}\)

\(=\frac{11}{8}-\frac{3}{14}+\frac{1}{3}\)

\(=\frac{251}{168}\)

Bài 1 : a, thực hiện phép tính : 

\(2\frac{3}{4}×\frac{1}{2}-\frac{1}{2}×\frac{3}{7}+\frac{1}{3}\)

\(=\frac{11}{4}×\frac{1}{2}-\frac{1}{2}×\frac{3}{7}+\frac{1}{3}\)

\(=\frac{1}{2}×\left(\frac{11}{4}-\frac{3}{7}\right)+\frac{1}{3}\)

\(=\frac{1}{2}×\frac{65}{28}+\frac{1}{3}\)

\(=\frac{65}{56}+\frac{1}{3}\)

\(=\frac{251}{168}\)

b , Tìm x biết : 

a, 435- ( x + 16 ) = 425 : 17 

435 - ( x + 16 ) = 25 

x + 16 = 435 - 25 

x + 16 = 410 

x  = 410 - 16 

x = 394 

Vậy x = 394 

b, ( x + 3/4 ) × 7/4 = 5 - 7/6 

( x + 3/4 ) × 7/4 = 23/6 

x + 3/4 = 23/6 : 7/4 

x + 3/4 = 23/6 × 4/7 

x + 3/4 = 46/21 

x = 46/21 - 3/4 

x = 121/84

Vậy x = 121/84 

( x + 1 ) + ( x + 4 ) + ( x + 7 ) + ( x + 10 ) + ......... + ( x + 34 ) = 330

( 1 + 4 + 7 + 10 + ......... + 34 ) + ( x + x + x + x + ......... + x ) = 330

=> 210 + 12x = 330

12x = 330 - 210

12x = 120 

    x = 120 : 12

    x = 10

(x + 1) + (x + 4) + (x + 7) + (x + 10) +...+ (x + 34) = 330

=> (x + x + x + x + ...+ x) + (1 + 4 + 7 + 10 +...+ 34) = 330

=> 12x + 210  = 330

=> x = 330 - 210

=> x = 10

sorry

that ra ket qua la 10