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

Toán Lớp 8: Tìm x biết (3x+2)^2x-6)^2=0 nhanh giúp tớ

Toán Lớp 8: Tìm x biết (3x+2)^2x-6)^2=0
nhanh giúp tớ

Comments ( 2 )

  1. Giải đáp+iải thích các bước giải:
    (3x+2)^2-(x-6)^2=0
    <=>9x^2+12x+4-(x^2-12x+36)=0
    <=>9x^2+12x+4-x^2+12x-36=0
    <=>8x^2+24x-32=0
    <=>8x^2+32x-8x-32=0
    <=>8x(x+4)-8(x+4)=0
    <=>(x+4)(8x-8)=0
    <=>8(x+4)(x-1)=0
    <=>\(\left[ \begin{array}{l}x=1\\x=-4\end{array} \right.\) 
    Vậy x\in{1;-4}

  2. #White
    (3x+2)^2-(x-6)^2 = 0
    ⇔ (3x+2-x+6)(3x+2+x-6) = 0
    ⇔ (2x+8)(4x-4) = 0
    ⇔ 2(x+4). 4(x-1) = 0
    ⇔ 8(x+4)(x-1) = 0
    ⇔ (x+4)(x-1) = 0
    ⇔ \(\left[ \begin{array}{l}x+4=0\\x-1=0\end{array} \right.\) 
    ⇔ \(\left[ \begin{array}{l}x=-4\\x=1\end{array} \right.\) 
    Vậy S= {-4; 1}
    Áp dụng: a^2-b^2 = (a-b)(a+b)
     

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

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