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222-9+11+12:2*14+14 = ? ( )

Toán Lớp 8: Phtich đa tử thành nhân tử bằng phphap dùng hằng đẳng thức , tìm x khi : a)4x² – 4x= -1 b)(3x-5)²-(x+1)²=0

Toán Lớp 8: Phtich đa tử thành nhân tử bằng phphap dùng hằng đẳng thức , tìm x khi :
a)4x² – 4x= -1
b)(3x-5)²-(x+1)²=0

Comments ( 2 )

  1. a)4x² – 4x= -1
    =>4x² – 4x +1=0
    =>(2x -1)²=0
    =>2x-1=0
    =>2x=1
    =>x=$\frac{1}{2}$ 
    vậy…
    b)(3x-5)²-(x+1)²=0
    =>(3x-5-x-1)(3x-5+x+1)=0
    =>(2x-6)(4x-4)=0
    =>\(\left[ \begin{array}{l}2x-6=0\\4x-4=0\end{array} \right.\) 
    =>\(\left[ \begin{array}{l}2x=6\\4x=4\end{array} \right.\) 
    =>\(\left[ \begin{array}{l}x=3\\x=1\end{array} \right.\) 
    vậy…
     

  2. a,
    $4x^2-4x=-1$
    $⇔4x^2-4x+1=0$
    $⇔(2x-1)^2=0$
    $⇔2x-1=0$
    $⇔2x=1$
    $⇔x=\dfrac{1}{2}$
    Vậy $x=\dfrac{1}{2}$
    b,
    $(3x-5)^2-(x+1)^2=0$
    $⇔(3x-5+x+1)(3x-5-x-1)=0$
    $⇔4(x-1)2(x-3)=0$
    $+,x-1=0$
    $⇔x=1$
    $+,x-3=0$
    $⇔x=3$
    Vậy S={1;3}
     

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222-9+11+12:2*14+14 = ? ( )