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

Toán Lớp 8: Tìm x : 4x(x-5) – (2x-1)(1+2x)=5

Toán Lớp 8: Tìm x : 4x(x-5) – (2x-1)(1+2x)=5

Comments ( 2 )

  1. Giải đáp+Lời giải và giải thích chi tiết:
    4x(x-5) – (2x-1)(1+2x)=5
    ⇔ 4x^2 – 20x – (2x-1)(2x+1) = 5
    ⇔ 4x^2 – 20x – [2x(2x+1)-1(2x+1)] = 5
    ⇔ 4x^2 – 20x – (4x^2 + 2x – 2x – 1) = 5
    ⇔ 4x^2 – 20x – (4x^2 – 1) = 5
    ⇔  4x^2 – 20x – 4x^2 + 1 = 5
    ⇔ -20x + 1 = 5
    ⇔ -20x = 4
    ⇔ x = -1/5
    Vậy x = -1/5

  2. #andy
    \[\begin{array}{l}
    4x\left( {x – 5} \right)–\left( {2x – 1} \right)\left( {1 + 2x} \right) = 5\\
     \Leftrightarrow 4{x^2} – 20x – \left( {2x – 1} \right)\left( {2x + 1} \right) = 5\\
     \Leftrightarrow 4{x^2} – 20x – \left[ {2x\left( {2x + 1} \right) – \left( {2x + 1} \right)} \right] = 5\\
     \Leftrightarrow 4{x^2} – 20x – \left( {4{x^2} + 2x – 2x – 1} \right) = 5\\
     \Leftrightarrow 4{x^2} – 20x – \left( {4{x^2} – 1} \right) = 5\\
     \Leftrightarrow \;4{x^2} – 20x – 4{x^2} + 1 = 5\\
     \Leftrightarrow  – 20x + 1 = 5\\
     \Leftrightarrow  – 20x = 4\\
     \Leftrightarrow x =  – \frac{1}{5}
    \end{array}\]

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