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

Toán Lớp 8: a, x(x-1)-x^2+2x=0 b, 4x^2 – 36x = 0 c, 2x^2-2x=(x-1)^2 Tìm x biết

Toán Lớp 8: a, x(x-1)-x^2+2x=0
b, 4x^2 – 36x = 0
c, 2x^2-2x=(x-1)^2
Tìm x biết

Comments ( 2 )

  1. a) x( x – 1) – x^{2} + 2x = 0
    => x^{2} – x – x^{2} + 2x = 0
    => x = 0
    b) 4x^{2} – 36x = 0
    => 4x( x – 9) = 0
    =>\(\left[ \begin{array}{l}4x = 0\\x – 9 = 0\end{array} \right.\) 
    =>\(\left[ \begin{array}{l}x=0\\x=9\end{array} \right.\) 
    c) 2x^{2} – 2x = ( x – 1)^{2}
    => 2x^{2} – 2x = x^{2} – 2x + 1
    => 2x^{2} – 2x – x^{2} + 2x = 1
    => x^{2} = 1
    => x = ±1

  2. a) x (x-1) – x^2 + 2x = 0
    ⇔  x^2 – x – x^2 + 2x = 0
    ⇔ x = 0
    b) 4x^2 – 36x = 0
    ⇔ 4x (x-9) = 0
    +) 4x = 0 
    ⇔ x = 0
    +) x – 9 = 0
    ⇔ x = 9
    c) 2x^2 – 2x = (x-1)^2
    ⇔ 2x^2 – 2x = x^2 – 2x + 1
    ⇔ 2x^2 – 2x – x^2 + 2x – 1 = 0
    ⇔ x^2 – 1 = 0
    ⇔ (x-1) (x+1) = 0
    +) x – 1 = 0
    ⇔ x = 1
    +) x + 1 = 0
    ⇔ x = -1

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

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