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9 tháng 7 2018

Ta có : 

\(B=x\left(x+2\right)\left(2-x\right)+\left(x+3\right)\left(x^2-3x+9\right)\)

\(\Rightarrow B=x\left(4-x^2\right)+\left(x+3\right)x\left(x-3\right)+9\left(x+3\right)\)

\(\Rightarrow B=4x-x^3+x\left(x^2-9\right)+9x+27\)

\(\Rightarrow B=4x-x^3+x^3-9x+9x+27\)

\(\Rightarrow B=4x+27\)

8 tháng 10 2018

\(B=x\left(x+2\right)\left(2-x\right)+\left(x+3\right)\left(x^2-3x+9\right)\)

\(B=x\left(4-x^2\right)+x^3+27\)

\(B=4x-x^3+x^3+27\)

\(B=4x+27\)

3 tháng 10 2016

a ) \(\left(x+3\right).\left(x^2-3x+9\right)-x.\left(x-2\right)\left(x+2\right)\)

\(=x^3+9-x.\left(x^2-4\right)\)

\(=x^3+9-x^3+4x\)

\(=9+4x\)

 

a: \(\Leftrightarrow x^3-27-x\left(x^2-4\right)=1\)

\(\Leftrightarrow x^3-27-x^3+4x=1\)

=>4x-27=1

hay x=7

b: \(\Leftrightarrow x^3-9x^2+27x-27-x^3+27+6\left(x+1\right)^2+3x^2=15\)

\(\Leftrightarrow-9x^2+27x+6x^2+12x+6+3x^2=15\)

=>39x+6=15

hay x=3/13

c: \(\Leftrightarrow x^3-3x^2+3x-1-x^3-27+3x^2-12=2\)

\(\Leftrightarrow3x-40=2\)

hay x=14

a: \(=x^2-x^3-2+2x+x^3+27=x^2+2x+25\)

b: \(=\dfrac{2x^4-2x^3+2x^2+3x^3-3x^2+3x-2x^2+2x-2-x-1}{x^2-x+1}\)

\(=2x^2+3x-2+\dfrac{-x-1}{x^2-x+1}\)

 

20 tháng 9 2018

a) \(\left(x+3\right)\left(x^2-3x+9\right)-x\left(x-2\right)\left(x+2\right)=27\)

\(\Rightarrow x^3+3^3-x\left(x^2-4\right)=27\)

\(\Rightarrow x^3+27-x^3+4x=27\)

\(\Rightarrow27+4x=27\)

\(\Rightarrow4x=0\)

\(\Rightarrow x=0\)

20 tháng 9 2018

b) \(2x^2+7x+3=0\)

\(\Rightarrow2x^2+x+6x+3=0\)

\(\Rightarrow x\left(2x+1\right)+3\left(2x+1\right)=0\)

\(\Rightarrow\left(2x+1\right)\left(x+3\right)=0\)

\(\Rightarrow\left[{}\begin{matrix}2x+1=0\\x+3=0\end{matrix}\right.\)

\(\Rightarrow\left[{}\begin{matrix}2x=-1\\x=-3\end{matrix}\right.\)

\(\Rightarrow\left[{}\begin{matrix}x=-\dfrac{1}{2}\\x=-3\end{matrix}\right.\)

26 tháng 7 2021

a)(x+3)3-x(3x+1)2+(2x+1)(4x2-2x+1-3x2)=54

\(\Rightarrow\)x3+9x2+27x+27-x(9x2+6x+1)+(2x+1)(x2-2x+1)=54

\(\Rightarrow\)x3+9x2+27x+27-9x3-6x2-x+2x3-4x2+2x+x2-2x+1=54

\(\Rightarrow\)-6x3+26x+28=54

\(\Rightarrow\)-6x3+26x=54-28

\(\Rightarrow\)-6x3+26x=26

\(\Rightarrow\)-6x3+26x-26=0

\(\Rightarrow\)-2(3x3+13x+14)

11 tháng 1 2023

\(8,1-\left(x-6\right)=4\left(2-2x\right)\)

\(\Leftrightarrow1-x+6=8-8x\)

\(\Leftrightarrow-x+8x=8-1-6\)

\(\Leftrightarrow7x=1\)

\(\Leftrightarrow x=\dfrac{1}{7}\)

\(9,\left(3x-2\right)\left(x+5\right)=0\)

\(\Leftrightarrow\left[{}\begin{matrix}3x-2=0\\x+5=0\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{2}{3}\\x=-5\end{matrix}\right.\)

\(10,\left(x+3\right)\left(x^2+2\right)=0\)

\(\Leftrightarrow\left[{}\begin{matrix}x+3=0\\x^2+2=0\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}x=-3\\x=\varnothing\end{matrix}\right.\)

 

11 tháng 1 2023

`8)1-(x-5)=4(2-2x)`

`<=>1-x+5=8-6x`

`<=>5x=2<=>x=2/5`

`9)(3x-2)(x+5)=0`

`<=>[(x=2/3),(x=-5):}`

`10)(x+3)(x^2+2)=0`

  Mà `x^2+2 > 0 AA x`

 `=>x+3=0`

`<=>x=-3`

`11)(5x-1)(x^2-9)=0`

`<=>(5x-1)(x-3)(x+3)=0`

`<=>[(x=1/5),(x=3),(x=-3):}`

`12)x(x-3)+3(x-3)=0`

`<=>(x-3)(x+3)=0`

`<=>[(x=3),(x=-3):}`

`13)x(x-5)-4x+20=0`

`<=>x(x-5)-4(x-5)=0`

`<=>(x-5)(x-4)=0`

`<=>[(x=5),(x=4):}`

`14)x^2+4x-5=0`

`<=>x^2+5x-x-5=0`

`<=>(x+5)(x-1)=0`

`<=>[(x=-5),(x=1):}`

AH
Akai Haruma
Giáo viên
26 tháng 6 2018

Hỏi đáp Toán

26 tháng 6 2018

Em cảm ơn ạ <3

a) Ta có: \(\left(6x-2\right)^2+\left(5x-2\right)^2-4\left(3x-1\right)\left(5x-2\right)=0\)

\(\Leftrightarrow\left(6x-2\right)^2-2\cdot\left(6x-2\right)\left(5x-2\right)+\left(5x-2\right)^2=0\)

\(\Leftrightarrow\left(6x-2-5x+2\right)^2=0\)

\(\Leftrightarrow x^2=0\)

hay x=0

Vậy: x=0

b) Ta có: \(\left(x-1\right)\left(x^2+x+1\right)-x\left(x+2\right)\left(x-2\right)=5\)

\(\Leftrightarrow x^3-1-x\left(x^2-4\right)-5=0\)

\(\Leftrightarrow x^3-6-x^2+4x=0\)

\(\Leftrightarrow4x-6=0\)

\(\Leftrightarrow4x=6\)

hay \(x=\frac{3}{2}\)

Vậy: \(x=\frac{3}{2}\)

c) Ta có: \(\left(x-1\right)^3-\left(x+3\right)\left(x^2-3x+9\right)+3\left(x^2-4\right)=2\)

\(\Leftrightarrow x^3-3x^2+3x-1-\left(x^3+27\right)+3x^2-12-2=0\)

\(\Leftrightarrow x^3+3x-15-x^3-27=0\)

\(\Leftrightarrow3x-42=0\)

\(\Leftrightarrow3x=42\)

hay x=14

Vậy: x=14

22 tháng 12 2020

Rảnh rỗi thật sự .-.

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