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Home » Compute the sum of the roots of the equation - Midis

Compute the sum of the roots of the equation - Midis

📅 March 12, 2026 👤 scraface

Mar 12, 2026

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📌 k + m + n &= 120 \quad \text{(1)}\\

📌 4k + 2m + n &= 150 \quad \text{(2)}\\

📌 9k + 3m + n &= 210 \quad \text{(3)}

📌 Subtract (4) from (5):

📌 Substitute \( k = 15 \) into (4):

📌 3(15) + m = 30 \implies 45 + m = 30 \implies m = -15

📌 Substitute \( k = 15 \), \( m = -15 \) into (1):

📌 - 15 + n = 120 \implies n = 120

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