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Home » Let the width be \( w \). Then the length is \( 3w \). - AIKO, infinite ways to autonomy.

Let the width be \( w \). Then the length is \( 3w \). - AIKO, infinite ways to autonomy.

📅 May 5, 2026 👤 scraface

May 05, 2026

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📌 Thus, the square of the sum of the roots is:

📌 Question: The functions \( f(x) = x^2 - 3x + k \) and \( g(x) = x^2 - 3x + 2k \) are evaluated when \( x = 3 \). What is the value of \( k \) if \( f(3) = g(3) \)?

📌 For \( f(x) \):

📌 \[ f(3) = 3^2 - 3 \cdot 3 + k = 9 - 9 + k = k \]

📌 For \( g(x) \):

📌 \[ g(3) = 3^2 - 3 \cdot 3 + 2k = 9 - 9 + 2k = 2k \]

📌 Since \( f(3) = g(3) \), we have:

📌 \[ k = 2k \]

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