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Home » Discriminant: \( 1225 + 816 = 2041 \), not perfect square. - Crosslake

Discriminant: \( 1225 + 816 = 2041 \), not perfect square. - Crosslake

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 A virologist is studying the rate of viral spread, modeled by \( R(x) = rac{x^2 - 4x + 3}{x - 1} \). Determine the values of \( x \) where the rate \( R(x) \) is undefined and analyze the behavior as \( x \) approaches these values.

📌 The function \( R(x) = rac{x^2 - 4x + 3}{x - 1} \) is undefined where the denominator is zero. Set the denominator equal to zero:

📌 Thus, \( R(x) \) is undefined at \( x = 1 \).

📌 Next, analyze the behavior as \( x \) approaches 1. Factor the numerator:

📌 \[ x^2 - 4x + 3 = (x - 1)(x - 3). \]

📌 Thus, for \( x

📌 \[ R(x) = rac{(x - 1)(x - 3)}{x - 1} = x - 3. \]

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