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Home » This Drowning Meme is Catching Hundreds of Lives—Are You Next? Share Now! - Dyverse

This Drowning Meme is Catching Hundreds of Lives—Are You Next? Share Now! - Dyverse

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 The roots of the quadratic equation \( x^2 - 5x + 6 = 0 \) can be found using the quadratic formula, but we can also use Vieta's formulas.

📌 Vieta's gives the sum of the roots as \( r_1 + r_2 = 5 \).

📌 We need the square of the sum of the roots:

📌 \[ (r_1 + r_2)^2 = 5^2 = 25 \]

📌 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 \( f(x) \):

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

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