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

Toán Lớp 7: (x – 5)/25 = – 4/(5 – x) Mik đang cầm gấp, lm nhanh hộ mik nhá

Toán Lớp 7: (x – 5)/25 = – 4/(5 – x)
Mik đang cầm gấp, lm nhanh hộ mik nhá

Comments ( 2 )

  1. {x-5}/25 = – 4/{(5-x)}
    $\Leftrightarrow$ {x-5}/25 = 4/{x-5}
    $\Leftrightarrow$ (x-5) . (x – 5) = 25 . 4
    $\Leftrightarrow$ (x-5)^{2} = 100
    $\Leftrightarrow$ (x-5)^{2} = (+-10)^{2}
    $\Leftrightarrow$ $\left[\begin{matrix} x-5=10\\ x-5=-10\end{matrix}\right.$
    $\Leftrightarrow$ $\left[\begin{matrix} x=10+5\\ x=-10+5\end{matrix}\right.$
    $\Leftrightarrow$ $\left[\begin{matrix} x=15\\ x=-5\end{matrix}\right.$
    $\text{Vậy}$ x \in {15 ; -5}
    $\text{#AppleWatch}$

  2. $\textit{Giải đáp + Lời giải và giải thích chi tiết:}$
    $\text{$\dfrac{x – 5}{25}$ = $\dfrac{-4}{5 – x}$}$
    $\text{⇔ $\dfrac{x – 5}{25}$ = $\dfrac{-(-4)}{-(5-x)}$}$
    $\text{⇔ $\dfrac{x – 5}{25}$ = $\dfrac{4}{-5 + x}$}$
    $\text{⇒ $(x – 5)^{2}$ = 4 . 25 = 100}$
    $\text{⇒ $x^{}$ – 5 = ± 10}$
    $\text{$\begin{cases} x – 5 = 10\\x – 5 = -10 \end{cases}$}$
    $\begin{cases} x = 10 + 5 = 15\\x = -10 -(-5) = 5 \end{cases}$
    $\text{Vậy $x^{}$ ∈ {15; -5}}$

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

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