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22 tháng 1 2017

x=2 nha bn

chuc bn hoc tot

happy new year

17 tháng 1 2017

a. dùng máy tính ta bấm được 1 nghiệm x=2/3

=> 3x3-6x2-6x-2x2+4x+4=0

<=> 3x(x2-2x-2)-2(x2-2x-2)=0

<=> (x2-2x-2)(3x-2)=0

\(\Leftrightarrow\left[\begin{matrix}x=1+\sqrt{3}\\x=1-\sqrt{3}\\x=\frac{2}{3}\end{matrix}\right.\)

Bài 1: 

b: \(x^3-4x^2+7x-6=0\)

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

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

=>x-2=0

hay x=2

c: \(2x^3+7x^2+7x+2=0\)

\(\Leftrightarrow2\left(x+1\right)\left(x^2-x+1\right)+7x\left(x+1\right)=0\)

\(\Leftrightarrow\left(x+1\right)\left(2x^2-2x+2+7x\right)=0\)

\(\Leftrightarrow\left(x+1\right)\left(2x^2+5x+2\right)=0\)

\(\Leftrightarrow\left(x+1\right)\left(2x^2+4x+x+2\right)=0\)

=>(x+1)(x+2)(2x+1)=0

hay \(x\in\left\{-1;-2;-\dfrac{1}{2}\right\}\)

d: \(2x^3-9x+2=0\)

\(\Leftrightarrow2x^3-4x^2+4x^2-8x-x+2=0\)

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

\(\Leftrightarrow\left(x-2\right)\left(x^2+2x-\dfrac{1}{2}\right)=0\)

\(\Leftrightarrow\left(x-2\right)\left(x^2+2x+1-\dfrac{3}{2}\right)=0\)

\(\Leftrightarrow\left(x-2\right)\left(x+1+\dfrac{\sqrt{6}}{2}\right)\left(x+1-\dfrac{\sqrt{6}}{2}\right)=0\)

hay \(x\in\left\{2;-1-\dfrac{\sqrt{6}}{2};-1+\dfrac{\sqrt{6}}{2}\right\}\)

4 tháng 2 2017

a) x3+4x2+x-6=0

<=> x3+x2-2x+3x2+3x-6=0

<=>x(x2+x-2)+3(x2+x-2)=0

<=>(x+3)(x2+x-2)=0

<=>(x+3)(x2+2x-x-2)=0

<=>(x+3)[x(x+2)-(x+2)]=0

<=>(x+3)(x-1)(x+2)=0

=> x+3=0 hay

x-1=0 hay

x+2=0

<=> x=-3 hay x=1 hay x=-2

4 tháng 2 2017

b)x3-3x2+4=0

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

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

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

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

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

18 tháng 3 2020

rrrrrrrr\(x = {-b \pm \sqrt{b^2-4ac} \over 2a}\)

9 tháng 11 2017

bạn sử dụng : \(\sqrt{x}\)= a <=>  a > hoặc bằng 0 

                                               và x= a^2

3 tháng 8 2020

\(5X\left(X-2020\right)+X=2020\)

\(\Leftrightarrow5X^2-10100X+X=2020\)

\(\Leftrightarrow5X^2-10099X=2020\)

\(\Leftrightarrow5X^2-10099X-2020=0\)

\(\Leftrightarrow5X^2-10100X+x-2020=0\)

\(\Leftrightarrow5X\left(X-2020\right)+X-2020=0\)

\(\Leftrightarrow\left(X-2020\right)\left(5X+1\right)=0\)

\(\Leftrightarrow\orbr{\begin{cases}x=2020\\x=-\frac{1}{5}\end{cases}}\)

3 tháng 8 2020

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

\(\Leftrightarrow\left[2\left(x-5\right)\right]^2-\left(2x+1\right)^2=0\)

\(\Leftrightarrow\left[2\left(x-5\right)-2x-1\right]\left[2\left(x-5\right)+2x+1\right]=0\)

\(\Leftrightarrow\left(2x-10-2x-1\right)\left(2x-10+2x+1\right)=0\)

\(\Leftrightarrow-11\left(4x-9\right)=0\)

\(\Leftrightarrow x=\frac{9}{4}\)

19 tháng 8 2018

Bài 4 : Tìm x biết:

a, 4x2 - 49 = 0

\(\Leftrightarrow\) (2x)2 - 72 = 0

\(\Leftrightarrow\) (2x - 7)(2x + 7) = 0

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

b, x2 + 36 = 12x

\(\Leftrightarrow\) x2 + 36 - 12x = 0

\(\Leftrightarrow\) x2 - 2.x.6 + 62 = 0

\(\Leftrightarrow\) (x - 6)2 = 0

\(\Leftrightarrow\) x = 6

19 tháng 8 2018

e, (x - 2)2 - 16 = 0

\(\Leftrightarrow\) (x - 2)2 - 42 = 0

\(\Leftrightarrow\) (x - 2 - 4)(x - 2 + 4) = 0

\(\Leftrightarrow\) (x - 6)(x + 2) = 0

\(\Leftrightarrow\left\{{}\begin{matrix}x-6=0\\x+2=0\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=6\\x=-2\end{matrix}\right.\)

f, x2 - 5x -14 = 0

\(\Leftrightarrow\) x2 + 2x - 7x -14 = 0

\(\Leftrightarrow\) x(x + 2) - 7(x + 2) = 0

\(\Leftrightarrow\) (x + 2)(x - 7) = 0

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

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

\(\Leftrightarrow9x^2-6x+1-x^3-9x^2-27x-27=8-x^3\)

\(\Leftrightarrow-x^3-33x-26-8+x^3=0\)

=>-33x=34

hay x=-34/33

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

\(\Leftrightarrow\left(x^2+1\right)\left(x^2-1\right)-\left(x^2-1\right)^2=2\)

\(\Leftrightarrow x^4-1-x^4+2x^2-1=2\)

\(\Leftrightarrow2x^2=4\)

hay \(x\in\left\{\sqrt{2};-\sqrt{2}\right\}\)

c: \(x^2-2\sqrt{3}x+3=0\)

\(\Leftrightarrow\left(x-\sqrt{3}\right)^2=0\)

hay \(x=\sqrt{3}\)

d: \(\left(x-\sqrt{2}\right)\left(x+\sqrt{2}\right)-\left(x-\sqrt{2}\right)^2=0\)

\(\Leftrightarrow\left(x-\sqrt{2}\right)\left(x+\sqrt{2}-x+\sqrt{2}\right)=0\)

\(\Leftrightarrow x-\sqrt{2}=0\)

hay \(x=\sqrt{2}\)