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

Toán Lớp 8: Tìm x ( 2x – 3 )³ – ( 2x + 3 )( 4x² – 1 ) = -24

Toán Lớp 8: Tìm x
( 2x – 3 )³ – ( 2x + 3 )( 4x² – 1 ) = -24

Comments ( 2 )

  1. #Sad
    (2x-3)^3-(2x+3)(4x^2-1) = -24
    ⇔ 8x^3-36x^2+54x-27-8x^3+2x-12x^2+3+24 = 0
    ⇔ (8x^3-8x^3)-(36x^2+12x^2)+(54x+2x)+(-27+3+24) = 0
    ⇔ -48x^2+56x = 0
    ⇔ -8x(6x-7)=0
    ⇔ \(\left[ \begin{array}{l}-8x=0\\6x-7=0\end{array} \right.\) 
    ⇔ \(\left[ \begin{array}{l}x=0\\6x=7\end{array} \right.\) 
    ⇔ \(\left[ \begin{array}{l}x=0\\x=\dfrac{7}{6}\end{array} \right.\) 
    \text{Vậy} x=0 \text{hoặc} x=7/6
     

  2. Giải đáp:
    (2x-3)^3 – (2x+3)(4x^2-1) = -24
    ⇔ 8x^3 – 36x^2 + 54x – 27 – 8x^3 + 2x – 12x^2 + 3 = -24
    ⇔ (8x^3-8x^3) – (36x^2+12x^2) + (54x +2x) = -24 + 27 – 3
    ⇔ -48x^2 + 56x = 0
    ⇔ 8x(-6x+7) = 0
    ⇔ 8x = 0 hoặc -6x + 7 = 0
    ⇔ x = 0 hoặc -6x = -7
    ⇔ x = 0 hoặc x = 7/6
    Vậy S = {0,7/6}

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

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