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

Toán Lớp 9: Cho `P = (` $\dfrac{a\sqrt{x}}{2+\sqrt{x}}$`) : (` $\dfrac{\sqrt{x}-1}{x-2\sqrt{x}}$ -$\dfrac{2}{\sqrt{x}}$ `)` Tìm ĐKXD

Toán Lớp 9: Cho P = ( $\dfrac{a\sqrt{x}}{2+\sqrt{x}}$) : ( $\dfrac{\sqrt{x}-1}{x-2\sqrt{x}}$ -$\dfrac{2}{\sqrt{x}}$ )
Tìm ĐKXD

Comments ( 1 )

  1. P = ($\frac{a\sqrt{x}}{2 + \sqrt{x}}$):($\frac{\sqrt{x} – 1}{x – 2\sqrt{x}}$)
    Đkxđ: $\begin{cases} x \geq 0 (3)\\x – 2\sqrt{x} \neq 0 (1)\\\sqrt{x} – 1 \neq 0 (2)\end{cases}$
    (1) ⇔ x – 2$\sqrt{x}$ $\neq$ 0
        ⇔ $\sqrt{x}$.($\sqrt{x}$ – 2) $\neq$ 0
        ⇔ \(\left[ \begin{array}{l}\sqrt{x} \neq 0\\\sqrt{x} – 2 \neq 0\end{array} \right.\) 
        ⇔ \(\left[ \begin{array}{l}x \neq 0\\x \neq 4 \end{array} \right.\) (4)
    (2) $\sqrt{x}$ – 1 $\neq$ 0
    ⇔ $\sqrt{x}$ $\neq$ 1
    ⇔ x $\neq$ 1 (5)
    Từ (3)(4)(5) ⇒ Đkxđ: x > 0; x $\neq$ 4; x $\neq$ 1
    Chúc bạn học tốt 

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

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