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

Toán Lớp 8: 4(x-5)^2-(x-5)=0 / mn ơi giúp e vs ạ e cần gấp

Toán Lớp 8: 4(x-5)^2-(x-5)=0 / mn ơi giúp e vs ạ e cần gấp

Comments ( 2 )

  1. 4(x-5)^2 – (x-5)=0
    <=>  (x-5) . (4(x-5) – 1) = 0
    <=> \(\left[ \begin{array}{l}x-5 = 0\\4(x-5) – 1=0\end{array} \right.\)
    <=> \(\left[ \begin{array}{l}x=5 \\x-5=\frac{1}{4}\end{array} \right.\)
    <=> \(\left[ \begin{array}{l}x=5 \\x=\frac{21}{4}\end{array} \right.\)
    Vậy x ∈ {5; 21/4}

  2. 4(x-5)^2-(x-5)=0
    <=>4(x^2-10x+25)-x+5=0
    <=>4x^2-40x+100-x+5=0
    <=>4x^2-41x+105=0
    <=>4x^2-20x-21x+105=0
    <=>4x(x-5)-21(x-5)=0
    <=>(4x-21)(x-5)=0
    <=> \(\left[ \begin{array}{l}4x-21=0\\x-5=0\end{array} \right.\) 
    <=> \(\left[ \begin{array}{l}x=\dfrac{21}{4}\\x=5\end{array} \right.\) 
    Vậy S={21/4;5}

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

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