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

Toán Lớp 8: tìm x biết. a) (x-4)^2-9x^2=0 b) 5(x+3)-2x^2-6x

Toán Lớp 8: tìm x biết. a) (x-4)^2-9x^2=0
b) 5(x+3)-2x^2-6x

Comments ( 2 )

  1. Giải đáp:+Lời giải và giải thích chi tiết:
    a, (x – 4)^2 – 9x^2 = 0
    ⇔ (x – 4)^2 – (3x)^2 = 0
    ⇔ (x – 4 – 3x)(x – 4 + 3x) = 0
    ⇔ (-2x – 4)(4x – 4) = 0
    ⇔ -2(x + 2).4(x – 1) = 0
    ⇔ -8(x + 2)(x – 1) = 0
    ⇒ $\left[\begin{matrix} x + 2 = 0\\ x-1=0\end{matrix}\right.$
    ⇒ $\left[\begin{matrix} x = -2\\ x = 1\end{matrix}\right.$
    Vậy x = -2 hoặc x = 1
    b, 5(x + 3) – 2x^2 – 6x = 0
    ⇔ 5(x + 3) – 2x(x + 3) = 0
    ⇔ (x + 3)(5 – 2x) = 0
    ⇒ $\left[\begin{matrix} x + 3 = 0\\ 5 – 2x = 0\end{matrix}\right.$
    ⇒ $\left[\begin{matrix} x = -3\\ 2x = 5\end{matrix}\right.$
    ⇒ $\left[\begin{matrix} x = -3\\ x = \dfrac{5}{2}\end{matrix}\right.$
    Vậy x = -3 hoặc x = 5/2

  2. (x-4)^2-9x^2=0
    ⇔(x-4)^2-(3x)^2=0
    ⇔(x-4-3x)(x-4+3x)=0
    ⇔(-2x-4)(4x-4)=0
    ⇔2(-x-2)4(x-1)=0
    ⇔(-x-2)(x-1)=0
    ⇔-x-2=0⇔-x=2⇔x=-2
    x-1=0⇔x=1
    Vậy S={-2,1}
    b,
    5(x+3)-2x^2-6x=0
    ⇔5(x+3)-(2x^2+6x)=0
    ⇔5(x+3)-2x(x+3)=0
    ⇔(x+3)(5-2x)=0
    ⇔x+3=0⇔x=-3
    5-2x=0⇔2x=5⇔x=5/2
    Vậy S={-3,5/2}
    $_Ativity_$
     

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