TÌM x biết
x^4-8x^3+11x^2+8x-12=0
MONG CÁC BẠN GIÚP
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NT
3
E
1 tháng 9 2021
\(<=>2x^2-5x+3=0\)
<=>\(2x^2-2x-3x+3=0\)
\(<=>2x(x-1)-3(x-1)=0\)
\(<=>(2x-3)(x-1)=0\)
th1 \(2x-3=0<=>x=3/2\)
th2 \(X-1=0<=>x=1\)
pt có tập nghiệm S={3/2;1}
1 tháng 9 2021
\(2x^3+3x^2-8x+3=0\\ \Rightarrow\left(2x^3-2x^2\right)+\left(5x^2-5x\right)-\left(3x-3\right)=0\\ \Rightarrow2x^2\left(x-1\right)+5x\left(x-1\right)-3\left(x-1\right)=0\\ \Rightarrow\left(x-1\right)\left(2x^2+5x-3\right)=0\\ \Rightarrow\left[{}\begin{matrix}x-1=0\\2x^2+5x-3=0\end{matrix}\right.\)
\(x-1=0\\ \Rightarrow x=1\)
\(2x^2+5x-3=0\\ \Rightarrow\left(2x^2+6x\right)-\left(x+3\right)=0\\ \Rightarrow2x\left(x+3\right)-\left(x+3\right)=0\\ \Rightarrow\left(x+3\right)\left(2x-1\right)=0\\ \Rightarrow\left[{}\begin{matrix}x+3=0\\2x-1=0\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}x=-3\\x=\dfrac{1}{2}\end{matrix}\right.\)
Vậy \(x=\left\{-3;\dfrac{1}{2};1\right\}\)
DT
2
7 tháng 8 2019
= \(x^4-2x^3-6x^3+12x^2-x^2+2x+6x-12\)
= \(x^3\left(x-2\right)-6x^2\left(x-2\right)-x\left(x-2\right)+6\left(x-2\right)\)
= \(\left(x-2\right)\left(x^3-6x^2-x+6\right)\)
= \(\left(x-2\right)\left(x^2\left(x-6\right)-\left(x-6\right)\right)\)
= \(\left(x-2\right)\left(x-6\right)\left(x-1\right)\left(x+1\right)\)
7 tháng 8 2019
x4 - 8x3 + 11x2 + 8x - 12
= (x3 - 7x2 + 4x + 12)(x - 1)
= (x3 - 8x + 12)(x + 1)(x - 1)
= (x - 6)(x - 2)(x + 1)(x - 1)
2 tháng 8 2015
1 ) 3x^2 - 11x + 6 = 3x^2 - 9x - 2x + 6 = 3x( x- 3 ) - 2( x - 3) = ( 3x - 2 )( x - 3 )
2) 8x^2 - 2x - 1 = 8x^2 - 4x + 2x - 1 = 4x( 2x - 1 ) + 2x - 1 = ( 4x + 1 )( 2x - 1 )
3; 8x^2 - 2x - 1 =8x^2 - 4x + 2x - 1 = 4x( 2x - 1 ) + 2x - 1 = ( 4x + 1 )( 2x - 1 )
4; x^4 - 3x^2 - 4 = x^4 - 4x^2 + x^2 - 4 = x^2 ( x ^2 - 4 ) + x^2 - 4 = ( x^2 + 1 )( x^2 - 4 ) = ( x^2 + 1 )( x - 2 )( x + 2)
5) = x^2 ( x + 2 ) - 3 ( x+ 2 ) = ( x^2 - 3 )( x + 2 )
Nhiều quá
H9
HT.Phong (9A5)
CTVHS
13 tháng 7 2023
\(6\cdot x+9=15\)
\(\Rightarrow6\cdot x=15-9\)
\(\Rightarrow6\cdot x=6\)
\(\Rightarrow x=\dfrac{6}{6}=1\)
_______________
\(43+2x=49\)
\(\Rightarrow2x=49-43\)
\(\Rightarrow2x=6\)
\(\Rightarrow x=\dfrac{6}{2}=3\)
____________
\(x:2+5=11\)
\(\Rightarrow x:2=11-5\)
\(\Rightarrow x:2=6\)
\(\Rightarrow x=6\cdot2=12\)
______________
\(77-11x=0\)
\(\Rightarrow11x=77\)
\(\Rightarrow x=\dfrac{77}{11}\)
\(\Rightarrow x=7\)
_______________
\(12-4:x=8\)
\(\Rightarrow4:x=12-8\)
\(\Rightarrow4:x=4\)
\(\Rightarrow x=\dfrac{4}{4}=1\)
_____________
\(x:3+8=11\)
\(\Rightarrow x:3=11-8\)
\(\Rightarrow x:3=3\)
\(\Rightarrow x=3\cdot3=9\)
13 tháng 7 2023
a: 6x+9=15
=>6x=6
=>x=1
b: 2x+43=49
=>2x=6
=>x=3
c: x:2+5=11
=>x:2=6
=>x=12
d: 77-11x=0
=>7-x=0
=>x=7
e: 12-4:x=8
=>4:x=4
=>x=1
f: x:3+8=11
=>x:3=3
=>x=9
RC
1
8 tháng 7 2018
Ta có:
\(\left(x-6\right)\left(x-2\right)\left(x-1\right)\left(x+1\right)\)
Chúc bạn học tốt
\(x^4-8x^3+11x^2+8x-12=0\)
\(\Leftrightarrow\left(x^2-1\right)\left(x^2-8x+12\right)=0\)
\(\Leftrightarrow\left(x-1\right)\left(x+1\right)\left(x-6\right)\left(x-2\right)=0\)
\(\Leftrightarrow x=\left\{1;-1;6;2\right\}\)
\(x^4-8x^3+11x^2+8x-12=0\)
\(\Leftrightarrow x^4-x^3-7x^3+7x^2+4x^2-4x+12x-12=0\)
\(\Leftrightarrow\left(x^4-x^3\right)-\left(7x^3-7x^2\right)+\left(4x^2-4x\right)+\left(12x-12\right)=0\)
\(\Leftrightarrow x^3\left(x-1\right)-7x^2\left(x-1\right)+4x\left(x-1\right)+12\left(x-1\right)=0\)
\(\Leftrightarrow\left(x-1\right)\left(x^3-7x^2+4x+12\right)=0\)
\(\Leftrightarrow\left(x-1\right)\left(x^3+x^2-8x^2-8x+12x+12\right)=0\)
\(\Leftrightarrow\left(x-1\right)[x^2\left(x+1\right)-8x\left(x+1\right)+12\left(x+1\right)]=0\)
\(\Leftrightarrow\left(x-1\right)\left(x+1\right)\left(x^2-8x+12\right)=0\)
\(\Leftrightarrow\left(x-1\right)\left(x+1\right)\left(x-2\right)\left(x-6\right)=0\)
\(\Leftrightarrow\)x - 1 =0 ; x + 1 = 0 ; x - 2 =0 hoặc x - 6 = 0
\(\Leftrightarrow\)x = 1 ; x = -1 ; x = 2 ; x=6