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

Toán Lớp 9: A=$\frac{2x+1}{x√x-1}$ -$\frac{1}{ √x-1}$ B=$\frac{ √x+3}{x+√x+1}$ Đặt P=A:B.Rút gọn P

Toán Lớp 9: A=$\frac{2x+1}{x√x-1}$ -$\frac{1}{ √x-1}$
B=$\frac{ √x+3}{x+√x+1}$
Đặt P=A:B.Rút gọn P

Comments ( 2 )

  1. Giải đáp+Lời giải và giải thích chi tiết:
    A=\frac{2x+1}{x\sqrt{x}-1}-\frac{1}{\sqrt{x}-1}(x≥0;x\ne1)
    A=\frac{2x+1}{(\sqrt{x}-1)(x+\sqrt{x}+1)}-\frac{x+\sqrt{x}+1}{(\sqrt{x}-1)(x+\sqrt{x}+1)}
    A=\frac{2x+1-x-\sqrt{x}-1}{(\sqrt{x}-1)(x+\sqrt{x}+1)}
    A=\frac{x-\sqrt{x}}{(\sqrt{x}-1)(x+\sqrt{x}+1)}
    A=\frac{\sqrt{x}(\sqrt{x}-1)}{(\sqrt{x}-1)(x+\sqrt{x}+1)}
    A=\frac{\sqrt{x}}{x+\sqrt{x}+1}
    P=A:B
    ⇔P=\frac{\sqrt{x}}{x+\sqrt{x}+1}:\frac{\sqrt{x}+3}{x+\sqrt{x}+1}
    ⇔P=\frac{\sqrt{x}}{x+\sqrt{x}+1}.\frac{x+\sqrt{x}+1}{\sqrt{x}+3}
    ⇔P=\frac{\sqrt{x}}{\sqrt{x}+3}
    Vậy với x≥0;\xne1 thì P=\frac{\sqrt{x}}{\sqrt{x}+3}
     

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