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

Toán Lớp 8: Tìm x: a) 3x(x+1)+5x=0 b) x mũ 2-5x=0 c) 4x mũ 2 – 1-( 2x+1 )=0 d) x mũ 2-7x+10=0

Toán Lớp 8: Tìm x:
a) 3x(x+1)+5x=0
b) x mũ 2-5x=0
c) 4x mũ 2 – 1-( 2x+1 )=0
d) x mũ 2-7x+10=0

Comments ( 1 )

  1. Lời giải:
    a)
    3x(x+1)+5x=0
    ⇔3x^(2)+3x+5x=0
    ⇔3x^(2)+8x=0
    ⇔x(3x+8)=0
    $⇔\left[\begin{matrix}x=0\\ 3x+8=0\end{matrix}\right.$
    $⇔\left[\begin{matrix}x=0\\ 3x=-8\end{matrix}\right.$
    $⇔\left[\begin{matrix}x=0\\ x=\dfrac{-8}{3}\end{matrix}\right.$
    Vậy x=0 hoặc x=-8/3
    b)
    x^(2)-5x=0
    ⇔x(x-5)=0
    $⇔\left[\begin{matrix}x=0\\ x-5=0\end{matrix}\right.$
    $⇔\left[\begin{matrix}x=0\\ x=5\end{matrix}\right.$
    Vậy x=0 hoặc x=5
    c)
    4x^(2)-1-(2x+1)=0
    ⇔(2x)^(2)-1-(2x+1)=0
    ⇔(2x-1)(2x+1)-(2x+1)=0
    ⇔(2x+1)(2x-1-1)=0
    ⇔(2x+1)(2x-2)=0
    ⇔2(2x+1)(x-1)=0
    ⇔(2x+1)(x-1)=0
    $⇔\left[\begin{matrix}2x+1=0\\ x-1=0\end{matrix}\right.$
    $⇔\left[\begin{matrix}2x=-1\\ x=1\end{matrix}\right.$
    $⇔\left[\begin{matrix}x=\dfrac{-1}{2}\\ x=1\end{matrix}\right.$
    Vậy x=-1/2 hoặc x=1
    d)
    x^(2)-7x+10=0
    ⇔x^(2)-2x-5x+10=0
    ⇔x(x-2)-5(x-2)=0
    ⇔(x-2)(x-5)=0
    $⇔\left[\begin{matrix}x-2=0\\ x-5=0\end{matrix}\right.$
    $⇔\left[\begin{matrix}x=2\\ x=5\end{matrix}\right.$
    Vậy x=2 hoặc x=5

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