`a)` Cho `x-1/2x^2=0`
`=>x(1-1/2x)=0`
`@TH1: x = 0`
`@TH2: 1-1/2x=0=>1/2x=1=>x=2`
Nghiệm của đa thức là `x=0` hoặc `x=2`
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`b)\overline{X}=[6.3+7.6+8x+9.4]/[3+6+x+4]`
Mà `\overline{X}=7,6`
`=>[96+8x]/[13+x]=7,6`
`=>96+8x=7,6(13+x)`
`=>96+8x=98,8+7,6x`
`=>8x-7,6x=98,8-96`
`=>0,4x=2,8`
`=>x=7`
Vậy `x=7`
cho \(x-\dfrac{1}{2}x^2=0\)
\(=>x\left(1-\dfrac{1}{2}x\right)=0\)
\(=>\left[{}\begin{matrix}x=0\\\dfrac{1}{2}x=1\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=0\\x=1:\dfrac{1}{2}=2\end{matrix}\right.\)
\(Q\left(x\right)=x^4+3x^2+1\)
vì \(\left\{{}\begin{matrix}x^4\ge0\\3x^2\ge0\end{matrix}\right.\)
\(=>x^4+3x^2\ge0\)
mà 1 > 0
\(=>x^4+3x^2+1\ge0\)
hay Q(x ) ko có nghiệm