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

Toán Lớp 8: a) x³+3x²+2x=0 b)(x+2)²-9(2x-1)²=0 c)x³+6x²+11x=0

Toán Lớp 8: a) x³+3x²+2x=0
b)(x+2)²-9(2x-1)²=0
c)x³+6x²+11x=0

Comments ( 2 )

  1. a)
    x^3 + 3x^2 + 2x = 0
    ⇔ x^3 + x^2 + 2x^2 + 2x = 0
    ⇔ x^2(x + 1) + 2x(x + 1) = 0
    ⇔ (x^2 + 2x)(x + 1) = 0
    ⇔ x(x + 1)(x + 2) = 0
    ⇒ x = 0 ; -1 ; -2
    Vậy  S = {0;-1;-2}
    b)
    (x + 2)^2 – 9(2x – 1)^2 = 0
    ⇔ (x + 2)^2 – [3(2x – 1)]^2 = 0
    ⇔ (x + 2)^2 – (6x – 3)^2 = 0
    ⇔ (x + 2 + 6x – 3)(x + 2 – 6x + 3) = 0
    ⇔ (7x – 1)(-5x + 5) = 0
    ⇒ \(\left[ \begin{array}{l}x = 1/7\\x = 1\end{array} \right.\) 
    Vậy  S = {1/7 ; 1}
    c)
    x^3 + 6x^2 + 11x = 0
    ⇔ x(x^2 + 6x + 11) = 0
    ⇒ x = 0
    (Do  x^2 + 6 + 11 = 0 text(vô nghiệm))
    Vậy  x = 0

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