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

Toán Lớp 8: Tìm x, biết: a) x.(x+1)-x.(x-3)=8 b)x^2-6x+8=0 c)2x^2+2x+1/2=0 Giúp mình nha

Toán Lớp 8: Tìm x, biết:
a) x.(x+1)-x.(x-3)=8
b)x^2-6x+8=0
c)2x^2+2x+1/2=0
Giúp mình nha

Comments ( 2 )

  1. a) x.(x+1)-x.(x-3)=8
    ⇔x² + x – x² + 3x = 8
    ⇔x + 3x = 8
    ⇔4x = 8
    ⇔x = 2
    b) x²-6x+8=0 
    ⇔(x-4)(x-2) = 0
    →TH1: x -4=0 ⇔ x = 4
    →TH2: x – 2 = 0 ⇔ x = 2
    c) 2x²+2x+1/2=0
    ⇔1/2 (2x + 1)² = 0
    ⇔2x + 1 = 0
    ⇔ 2x = -1
    ⇔ x = -1/2

  2. Giải đáp+Lời giải và giải thích chi tiết:
    a,
    $x(x+1)-x(x-3)=8$
    $⇔x^2+x-x^2+3x=8$
    $⇔4x=8$
    $⇔x=2$
    Vậy $x=2$
    b,
    $x^2-6x+8=0$
    $⇔x^2-4x-2x+8=0$
    $⇔x(x-4)-2(x-4)=0$
    $⇔(x-2)(x-4)=0$
    $⇔\left[\begin{matrix}x-2=0\\x-4=0\end{matrix}\right.$
    $⇔\left[\begin{matrix}x=2\\x=4\end{matrix}\right.$
    Vậy S={2;4}
    c,
    $2x^2+2x+\dfrac{1}{2}=0$
    $⇔2(x^2+x+\dfrac{1}{4})=0$
    $⇔2(x+\dfrac{1}{2})^2=0$
    $⇔x+\dfrac{1}{2}=0$
    $⇔x=\dfrac{-1}{2}$
    Vậy S={\frac{-1}{2}}
     

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