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2024-03-17 16:20:31
Ta có: P = \frac{4\sqrt{x}}{8x} \cdot \frac{\sqrt{x} + 2}{\sqrt{x} - 2} : \frac{\sqrt{x} + 2}{x - 4} \cdot \frac{\sqrt{x} - 2}{\sqrt{x} + 2} = \frac{4\sqrt{x}(\sqrt{x} + 2)}{(8x)(\sqrt{x} - 2)} : \frac{x - 4}{x - 4} = \frac{4(\sqrt{x} + 2)}{8(\sqrt{x} - 2)} = \frac{1}{\sqrt{x} - 2} 2) Tìm các giá trị của x để P = -4: Ta có: P = -4 \Rightarrow \frac{1}{\sqrt{x} - 2} = -4 \Rightarrow \sqrt{x} - 2 = -\frac{1}{4} \Rightarrow \sqrt{x} = \frac{7}{4} \Rightarrow x = \left(\frac{7}{4}\right)^2 = \frac{49}{16} Vậy x = 49/16 là giá trị cần tìm.