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

Toán Lớp 8: a) (3x + 2)(x ² – 1) = (9x ² – 4)(x + 1) b) x(x + 3)(x – 3) – (x + 2)(x ² – 2x + 4) = 0

Toán Lớp 8: a) (3x + 2)(x ² – 1) = (9x ² – 4)(x + 1)
b) x(x + 3)(x – 3) – (x + 2)(x ² – 2x + 4) = 0

Comments ( 2 )

  1. a) (3x+2)(x^2-1)=(9x^2-4)(x+1)
    ⇔ (3x+2)(x+1)(x-1)=(3x+2)(3x-2)(x+1)
    ⇔ x-1=3x-2
    ⇔ x-1-3x+2=0
    ⇔ -2x+1=0
    ⇔ -2x=-1
    ⇔ x=1/2
    b) x(x+3)(x-3)-(x+2)(x^2-2x+4)=0
    ⇔ x(x^2-3^2)-(x^3+2^3)=0
    ⇔ x^3-9x-x^3-8=0
    ⇔ -9x=8
    ⇔ x=-8/9
    Chúc bạn học tốt, cho mình câu trả lời hay nhất + 5* + cám ơn nha!!!

  2. Giải đáp+Lời giải và giải thích chi tiết:
     a) (3x+2)(x^2-1)=(9x^2-4)(x+1)
    <=>3x^3-3x+2x^2-2=9x^3+9x^2-4x-4=0
    <=>9x^3-3x^3+9x^2-2x^2-4x+3x-4+2=0
    <=>6x^3+7x^2-x-2=0
    <=>6x^3+6x^2+x^2+x-2x-2=0
    <=>6x^2(x+1)+x(x+1)-2(x+1)=0
    <=>(x+1)(6x^2+x-2)=0
    <=>(x+1)(6x^2+4x-3x-2)=0
    <=>(x+1)[2x(3x+2)-(3x+2)]=0
    <=>(x+1)(3x+2)(2x-1)=0
    <=>$\left[\begin{matrix} x+1=0\\ 3x+2=0\\2x-1=0\end{matrix}\right.$
    <=>$\left[\begin{matrix} x=-1\\ x=\dfrac{-2}{3}\\x=\dfrac{1}{2}\end{matrix}\right.$
     Vậy x=-1 hoặc x=-2/3 hoặc x=1/2
     b) x(x+3)(x-3)-(x+2)(x^2-2x+4)=0
    <=>x(x^2-9)-(x^3+8)=0
    <=>x^3-9x-x^2-8=0
    <=>-9x-8=0
    <=>-9x=8
    <=>x=(-8)/9
     Vậy x=-8/9

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