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

Toán Lớp 8: Tìm x x(x-2)+x-2=0 (x-1)^2+x(4-x)=0

Toán Lớp 8: Tìm x
x(x-2)+x-2=0
(x-1)^2+x(4-x)=0

Comments ( 2 )

  1. #Sad
    a)
    x(x-2)+x-2 = 0
    ⇔ x(x-2)+(x-2) = 0
    ⇔ (x+1)(x-2) = 0
    ⇔ \(\left[ \begin{array}{l}x+1=0\\x-2=0\end{array} \right.\) 
    ⇔ \(\left[ \begin{array}{l}x=-1\\x=2\end{array} \right.\) 
    \text{Vậy S=} {-1; 2}
    b)
    (x-1)^2+x(4-x) = 0
    ⇔ x^2-2x+1+4x-x^2 = 0
    ⇔ (x^2-x^2)+(-2x+4x)+1 = 0
    ⇔ 2x+1 = 0
    ⇔ 2x = -1
    ⇔ x = -(1)/(2)
    \text{Vậy S=} {-(1)/(2)}
     

  2. a. x(x-2)+x-2=0
    <=> x^2 -2x+x-2=0
    <=> x^2 -x-2=0
    <=> (x-2)( x+1)=0
    <=> \(\left[ \begin{array}{l}x=2\\x=-1\end{array} \right.\) 
    => x∈{2;-1}
    b. (x-1)^2+x(4-x)=0
    <=> x^2-x-1(x-1)+x(4-x)=0
    <=> x^2 -x-x+1+x(4-x)=0
    <=> x^2 -2x+1-x^2 +4x=0
    <=> -2x+1+4x=0
    <=> 2x=-1
    <=> x=-1/2

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

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