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

Toán Lớp 8: Bài 5: Tìm x a, 4x(x-5)-(x-1)(4x-3)=5 b, 3x(x-1)+x-1=0

Toán Lớp 8: Bài 5: Tìm x
a, 4x(x-5)-(x-1)(4x-3)=5
b, 3x(x-1)+x-1=0

Comments ( 2 )

  1. a) 4x(x-5)-(x-1)(4x-3)=5
    ⇔4x^2-20x-4x^2+3x+4x-3=5
    ⇔-13x=5+3
    ⇔-13x=8
    ⇔x=-8/(13)
    Vậy x=-8/(13)
    b) 3x(x-1)+x-1=0
    ⇔3x(x-1)+(x-1)=0
    ⇔(x-1)(3x+1)=0
    ⇔\(\left[ \begin{array}{l}x-1=0\\3x+1=0\end{array} \right.\) 
    ⇔\(\left[ \begin{array}{l}x=1\\x=-\dfrac{1}{3}\end{array} \right.\) 
    Vậy x=1 hoặc x=-1/3
     

  2. Giải đáp+Lời giải và giải thích chi tiết:
    a) 4x(x-5)-(x-1)(4x-3)=5
    ⇔ 4x^2 – 20x – [x(4x-3)-1(4x-3)] = 5
    ⇔ 4x^2 – 20x – (4x^2 – 3x – 4x + 3 ) = 5
    ⇔ 4x^2 – 20x – 4x^2 + 7x -3  = 5
    ⇔ -20x + 7x – 3 = 5
    ⇔ -13x – 3 = 5
    ⇔ -13x = 8
    ⇔ x = -8/13
    Vậy x = -8/13
    b) 3x(x-1)+x-1=0
    ⇔ 3x^2 – 3x + x – 1 = 0
    ⇔ 3x^2 – 2x – 1 = 0
    ⇔ 3x^2 + x – 3x – 1 = 0
    ⇔ (3x^2 + x) +(-3x-1)=0
    ⇔ x(3x+1)-1(3x+1) = 0
    ⇔ (x-1)(3x+1) = 0
    ⇔ \(\left[ \begin{array}{l}x-1=0\\3x+1=0\end{array} \right.\) 
    ⇔ \(\left[ \begin{array}{l}x=1\\x=-1/3\end{array} \right.\) 

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

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