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Giaiiphuougtrinh sau: \[ \sqrt{2 x-1}+\sqrt{x+3}: 3 \]

Ask by Guzman Lambert. in Vietnam
Jan 20,2025

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\( x=1 \)

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Để giải biểu thức sau: \[ y = \frac{\sqrt{2x - 1} + \sqrt{x + 3}}{3} \] Trước tiên, bạn cần đảm bảo rằng các biểu thức dưới dấu căn là không âm. Điều này có nghĩa là: 1. \(2x - 1 \geq 0\) \( \Rightarrow x \geq \frac{1}{2}\) 2. \(x + 3 \geq 0\) \( \Rightarrow x \geq -3\) Từ đó, điều kiện đăng ký là \(x \geq \frac{1}{2}\). Sau đó, biểu thức có thể được tính cho các giá trị của x thoả mãn điều kiện trên. Hãy thay các giá trị vào và xem giá trị của y thay đổi như thế nào! Một số giá trị có thể thử nghiệm là: \( x = 1, x = 2 \), v.v. Chỉ cần nhớ rằng càng lớn x thì giá trị y sẽ thay đổi như thế nào với các giá trị trên. Cuối cùng, để lấy được giá trị cụ thể của y, bạn hãy chọn x và tính toán! Chúc bạn thành công trong việc tìm ra kết quả!

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