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

Toán Lớp 8: tìm x biết: (10x+1)(2x-2)=(9x+4)(3x-5)

Toán Lớp 8: tìm x biết: (10x+1)(2x-2)=(9x+4)(3x-5)

Comments ( 2 )

  1. Giải đáp: + Lời giải và giải thích chi tiết:
    $(10x+1)(2x-2)=(9x+4)(3x-5)
    $20x² – 20x + 2x – 2 = 27x² – 45x + 12x – 20$
    $20x² – 18x – 2 – 27x² + 33x + 20 = 0$
    $-7x² + 15x + 18 = 0$
    $7x² – 15x – 18 = 0$
    $7x² + 6x – 21x – 18 = 0$
    $x(7x + 6) – 3(7x + 6) = 0$
    $(x-3)(7x + 6) = 0$
    \(\left[ \begin{array}{l}x=3\\x=\dfrac{-6}{7}\end{array} \right.\)
    vậy \(\left[ \begin{array}{l}x=3\\x=\dfrac{-6}{7}\end{array} \right.\)

  2. (10x+1)(2x-2)=(9x+4)(3x-5)
    ⇔20x^2-20x+2x-2=27x^2-45x+12x-20
    ⇔20x^2-27x^2-20x+2x+45x-12x-2+20=0
    ⇔-7x^2-15x+18=0
    ⇔7x^2-15x-18=0
    ⇔(7x^2+6x)-(21x+18)=0
    ⇔x(7x+6)-3(7x+6)=0
    ⇔(7x+6)(x-3)=0
    ⇔\(\left[ \begin{array}{l}7x+6=0\\x-3=0\end{array} \right.\) 
    \(\left[ \begin{array}{l}x=\frac{-6}{7}\\x=3\end{array} \right.\)
    Vậy S={-6/7,3}

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

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