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

Toán Lớp 7: Tìm x biết f (x) = g (x), trong đó f (x) = 4$x^{3}$ – 2$x^{2}$ + x – 5), g (x) = 4$x^{3}$ + 4$x^{2}$ – 5x – 5

Toán Lớp 7: Tìm x biết f (x) = g (x), trong đó f (x) = 4$x^{3}$ – 2$x^{2}$ + x – 5), g (x) = 4$x^{3}$ + 4$x^{2}$ – 5x – 5

Comments ( 2 )

  1. F(x)=G(x)
    ->4x^3-2x^2+x-5=4x^3+4x^2-5x-5
    ->4x^3-4x^3-2x^2-4x^2+x+5x=-5+5
    ->-6x^2+6x=0
    ->-6x(x-1)=0
    ->\(\left[ \begin{array}{l}-6x=0\\x-1=0\end{array} \right.\)
    -> \(\left[ \begin{array}{l}x=0\\x=1\end{array} \right.\) 
    Vậy S={0;1}
     

  2. Giải đáp:
     Ta có: f (x) = g (x)
    ⇔ 4x^3 – 2x^2 + x – 5 = 4x^3 + 4x^2 – 5x – 5
    ⇔ 4x^3 – 2x^2 + x – 5 – 4x^3 – 4x^2 + 5x + 5 = 0
    ⇔ (4x^3 – 4x^3) + (-2x^2 – 4x^2) + (x + 5x) + (-5 + 5) = 0
    ⇔ – 6x^2 + 6x = 0
    ⇔ 6x (- x + 1 ) = 0
    ⇒ $\left[\begin{matrix} 6x=0\\ -x + 1=0\end{matrix}\right.$
    ⇒ $\left[\begin{matrix} x = 0\\ – x= – 1\end{matrix}\right.$
    ⇒ $\left[\begin{matrix} x=0\\ x = 1\end{matrix}\right.$
    Vậy x = 0 hoặc x = 1

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