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

Toán Lớp 9: tìm x (2 √x +1)( √x-2)=7

Toán Lớp 9: tìm x (2 √x +1)( √x-2)=7

Comments ( 2 )

  1. (2$\sqrt{x}$ +1)(     $\sqrt{x}$-2)    =7
    ĐK : x≥0
    ⇔2x -4$\sqrt{x}$ + $\sqrt{x}$ -2 = 7
    ⇔2x – 3$\sqrt{x}$ – 9 = 0
    ⇔($\sqrt{x}$- 3)($\sqrt{x}$ + 3/2)   =0
    ⇔x = 9(TM) hoặc $\sqrt{x}$= -3/2(vô lí)
     

  2. (2$\sqrt{x}$ + 1)($\sqrt{x}$ – 2) = 7 Đkxđ: x ≥ 0
    ⇔ 2x – 4$\sqrt{x}$ + $\sqrt{x}$ – 2 = 7
    ⇔ 2x – 3$\sqrt{x}$ – 9 = 0
    ⇔ 2x – 6$\sqrt{x}$ + 3$\sqrt{x}$ – 9 = 0
    ⇔ 2$\sqrt{x}$($\sqrt{x}$ – 3) + 3($\sqrt{x}$ – 3) = 0
    ⇔ ($\sqrt{x}$ – 3)(2$\sqrt{x}$ + 3) = 0
    ⇔ \(\left[ \begin{array}{l}\sqrt{x} – 3 = 0\\2\sqrt{x} + 3 = 0\end{array} \right.\) 
    ⇔ \(\left[ \begin{array}{l}x = 9 (t/m)\\x ∈ ∅\end{array} \right.\) 
     Vậy x = 9
    Chúc bạn học tốt

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