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A.(2x-5)=2x3-7x2+9x-10
\(\Rightarrow\)A = 2x3-7x2+9x-10 : (2x-5)
Bạn thực hiện chia đa thức cho đa thức được bao nhiêu đó là A
a: =>2x^2-2x+2x-2-2x^2-x-4x-2=0
=>-5x-4=0
=>x=-4/5
b: =>6x^2-9x+2x-3-6x^2-12x=16
=>-19x=19
=>x=-1
c: =>48x^2-12x-20x+5+3x-48x^2-7+112x=81
=>83x=83
=>x=1
$ a/ 12x(x – 5) – 3x(4x - 10) = 120$
`<=>12x^2-60x-12x^2+30x=120`
`<=>-30x=120`
`<=>x=-4`
Vậy `x=-4`
$b/ 9x(x + 4) – 5x(3x + 2) = 112 - 2x(3x + 1)$
`<=>9x^2+36x-15x^2-10x=112-6x^2-2x`
`<=>-6x^2+26x=112-6x^2-2x`
`<=>28x=112`
`<=>x=4`
Vậy `x=4`
$c/ 3x(1 – x) - 5x(3x + 7) = 154 + 9x(5 – 2x)$
`<=>3x-3x^2-15x^2-35x=154+45x-18x^2`
`<=>-32x-18x^2=154+45x-18x^2`
`<=>77x=-154`
`<=>x=-2`
Vậy `x=-2`
a: =>(3x+1)(3x-1)-(3x+1)(2x-3)=0
=>(3x+1)(3x-1-2x+3)=0
=>(3x+1)(x+2)=0
=>x=-1/3 hoặc x=-2
b: =>(3x+1)(6x+2)-(3x+1)(x-2)=0
=>(3x+1)(6x+2-x+2)=0
=>(3x+1)(5x+4)=0
=>x=-1/3 hoặc x=-4/5
\(a,9x^2-6x-3=0\)
\(\Leftrightarrow9x^2-6x+1-4=0\)
\(\Leftrightarrow\left(3x-1\right)^2=4\)
\(\Rightarrow3x-1=\pm2\)
\(\hept{\begin{cases}3x-1=2\Rightarrow x=1\\3x-1=-2\Rightarrow x=\frac{-1}{3}\end{cases}}\)
Vậy \(x=1\) hoặc \(x=\frac{-1}{3}\)
\(b,x^3+9x^2+27x+19=0\)
\(\Leftrightarrow x^3+9x^2+27x+27-8=0\)
\(\Leftrightarrow\left(x+3\right)^3=8\)
\(\Rightarrow x+3=2\)
\(\Rightarrow x=-1\)
Vậy \(x=-1\)
\(c,x\left(x-5\right)\left(x+5\right)-\left(x+2\right)\left(x^2-2x+4\right)=3\)
\(\Leftrightarrow x\left(x^2-25\right)-\left(x^3+8\right)=3\)
\(\Leftrightarrow x^3-25x-x^3-8=3\)
\(\Leftrightarrow-25x=11\)
\(\Leftrightarrow x=\frac{-11}{25}\)
Vậy \(x=\frac{-11}{25}\)
\(9x^2-6x-3=0\)
<=> \(\left(3x\right)^2-2.3x.1+1-4=0\)
<=> \(\left(3x-1\right)^2-2^2=0\)
<=> \(\left(3x-3\right)\left(3x+1\right)=0\)
<=> \(\hept{\begin{cases}3x-3=0\\3x+1=0\end{cases}}\)
<=> \(\hept{\begin{cases}x=1\\x=\frac{-1}{3}\end{cases}}\)
\(x^3+9x^2+27x+19\) \(=0\)
<=>\(x^3+x^2+8x^2+8x+19x+19=0\)
<=> \(x^2\left(x+1\right)+8x\left(x+1\right)+19\left(x+1\right)=0\)
<=> \(\left(x^2+8x+19\right)\left(x+1\right)=0\)
mà \(x^2+8x+19>0\)
=> \(x+1=0\)
<=> \(x=-1\)
\(x\left(x-5\right)\left(x+5\right)-\left(x+2\right)\left(x^2-2x+4\right)=3\)
<=> \(x\left(x^2-25\right)-\left(x+2\right)\left(x-2\right)^2=3\)
<=> \(x^3-25x-\left(x^2-4\right)\left(x-2\right)=3\)
<=> \(x^3-25x-\left(x^3-2x^2-4x+8\right)=3\)
<=> \(x^3-25x-x^3+2x^2+4x-8=3\)
<=> \(2x^2-21x-8=3\)
<=> \(2x^2-21x-11=0\)
<=> \(2x^2-22x+x-11=0\)
<=> \(2x\left(x-11\right)+\left(x-11\right)=0\)
<=> \(\left(2x+1\right)\left(x-11\right)=0\)
<=> \(\hept{\begin{cases}2x+1=0\\x-11=0\end{cases}}\)
<=> \(\hept{\begin{cases}x=\frac{-1}{2}\\x=11\end{cases}}\)
\(1,A=\left(3x+7\right)\left(2x+3\right)-\left(2x+3\right)-\left(3x-5\right)\left(2x+11\right)\\ =6x^2+23x+21-2x-3-6x^2-23x+55\\ =73-2x\left(đề.sai\right)\\ B=x^4+x^3-x^2-2x^2-2x+2-x^4-x^3+3x^2+2x\\ =2\\ 2,\\ a,\Leftrightarrow30x^2+18x+3x-30x^2=7\\ \Leftrightarrow21x=7\Leftrightarrow x=\dfrac{1}{3}\\ b,\Leftrightarrow-63x^2+78x-15+63x^2+x-20=44\\ \Leftrightarrow79x=79\Leftrightarrow x=1\\ c,\Leftrightarrow\left(x+5\right)\left(x^2+3x+2\right)-x^3-8x^2=27\\ \Leftrightarrow x^3+3x^2+2x+5x^2+15x+10-x^3-8x^2=27\\ \Leftrightarrow17x=17\Leftrightarrow x=1\)
\(d,\Leftrightarrow7x-2x^2-3+x^2+x-6=-x^2-x+2\\ \Leftrightarrow9x=11\Leftrightarrow x=\dfrac{11}{9}\)