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

Toán Lớp 7: Bài 3: (2đ) Tìm x, biết: a) x2 + 3x = 0 b) x3 – 4x = 0 c) x2 + 5x = 6 d) x2 – 2015x + 2014 = 0

Toán Lớp 7: Bài 3: (2đ) Tìm x, biết:
a) x2 + 3x = 0
b) x3 – 4x = 0
c) x2 + 5x = 6
d) x2 – 2015x + 2014 = 0

Comments ( 2 )

  1. Lời giải:
    a) 
    x^(2)+3x=0
    ⇔x(x+3)=0
    $⇔\left[\begin{matrix}x=0\\ x+3=0\end{matrix}\right.$
    $⇔\left[\begin{matrix}x=0\\ x=-3\end{matrix}\right.$
    Vậy x∈{0;-3}
    b)
    x^(3)-4x=0
    ⇔x(x^(2)-4)=0
    $⇔\left[\begin{matrix}x=0\\ x²-4=0\end{matrix}\right.$
    $⇔\left[\begin{matrix}x=0\\ x²=4\end{matrix}\right.$
    $⇔\left[\begin{matrix}x=0\\ x=±2\end{matrix}\right.$
    Vậy x∈{0;±2}
    c)
    x^(2)+5x=6
    ⇔x^(2)+5x-6=0
    ⇔x^(2)+6x-x-6=0
    ⇔x(x+6)-(x+6)=0
    ⇔(x+6)(x-1)=0
    $⇔\left[\begin{matrix}x+6=0\\ x-1=0\end{matrix}\right.$
    $⇔\left[\begin{matrix}x=-6\\ x=1\end{matrix}\right.$
    Vậy x∈{-6;1}
    d)
    x^(2)-2015x+2014=0
    ⇔x^(2)-2014x-x+2014=0
    ⇔x(x-2014)-(x-2014)=0
    ⇔(x-2014)(x-1)=0
    $⇔\left[\begin{matrix}x-2014=0\\ x-1=0\end{matrix}\right.$
    $⇔\left[\begin{matrix}x=2014\ x=1\end{matrix}\right.$
    Vậy x∈{2014;1}

  2.  a) x^2+3x=0
    <=>x(x+3)=0
    <=>$\left[\begin{matrix} x=0\\ x+3=0\end{matrix}\right.$
    <=>$\left[\begin{matrix} x=0\\ x=-3\end{matrix}\right.$
    text{Vậy} S={0;-3}
     b) x^3-4x=0
    <=>x(x^2-4)=0
    <=>x(x^2-2^2)=0
    <=>x(x-2)(x+2)=0
    <=>$\left[\begin{matrix} x=0\\ x-2=0\\ x+2=0\end{matrix}\right.$
    <=>$\left[\begin{matrix} x=0\\ x=2\\ x=-2\end{matrix}\right.$
    text{Vậy} S={0;2;-2}
     c) x^2+5x=6
    <=>x^2+5x-6=0
    <=>x^2+6x-x-6=0
    <=>x(x+6)-(x+6)=0
    <=>(x+6)(x-1)=0
    <=>$\left[\begin{matrix} x+6=0\\ x-1=0\end{matrix}\right.$
    <=>$\left[\begin{matrix} x=-6\\ x=1\end{matrix}\right.$
    text{Vậy} S={-6;1}
     d) x^2-2015x+2014=0
    <=>x^2-2014x-x+2014=0
    <=>x(x-2014)-(x-2014)=0
    <=>(x-2014)(x-1)=0
    <=>$\left[\begin{matrix} x-2014=0\\ x-1=0\end{matrix}\right.$
    <=>$\left[\begin{matrix} x=2014\\ x=1\end{matrix}\right.$
    text{Vậy} S={2014;1}

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