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

Toán Lớp 8: Giải phương trình |2x – 5| + |2×2 – 7x + 5| = 0

Toán Lớp 8: Giải phương trình |2x – 5| + |2×2 – 7x + 5| = 0

Comments ( 2 )

  1. #andy
    \[\begin{array}{l}
    \left[ \begin{array}{l}
    |2x – 5| \ge 0\\
    \mid 2{x^2} – 7x + 5\mid  \ge 0
    \end{array} \right. \Rightarrow \left| {2x – 5} \right| + \left| {2{x^2} – 7x + 5} \right| \ge 0\\
    dau\,\, = \,\,xay\,\,ra\,\,khi:\\
    \left[ \begin{array}{l}
    2x – 5 = 0\\
    2{x^2} – 7x + 5 = 0
    \end{array} \right. \Rightarrow \left[ \begin{array}{l}
    x = \frac{5}{2}\\
    x = 1
    \end{array} \right. \Rightarrow x = \frac{5}{2}
    \end{array}\]

  2. Ta có: $|2x-5|\geq0, |2x^2-7x+5|\geq0$
    -> $\begin{cases} 2x-5=0\\\\2x^2-7x+5=0 \end{cases}$
    -> $\begin{cases} 2x=5\\\\(x-1)(2x-5)=0 \end{cases}$
    -> $\begin{cases} x=\dfrac{5}{2}\\\\\left[ \begin{array}{l}x=\dfrac{5}{2}\\x=1\end{array} \right. \end{cases}$ 
    ->x=5/2
    ->S={5/2}
    Chúc bạn học tốt !!!!!
     

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

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