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Home » 2x^2 - 39x + 54 = 0 - Treasure Valley Movers

2x^2 - 39x + 54 = 0 - Treasure Valley Movers

📅 April 16, 2026 👤 scraface

Apr 16, 2026

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📌 $$ (36a + 6b + c) - (16a + 4b + c) = 720 - 360 \Rightarrow 20a + 2b = 360 \Rightarrow 10a + b = 180 \quad \text{(ii)} $$

📌 Subtracting (i) from (ii):

📌 $$ (10a + b) - (6a + b) = 180 - 120 \Rightarrow 4a = 60 \Rightarrow a = 15 $$

📌 Substitute $ a = 15 $ into (i):

📌 $$ 6(15) + b = 120 \Rightarrow 90 + b = 120 \Rightarrow b = 30 $$

📌 Substitute $ a = 15 $, $ b = 30 $ into (1):

📌 $$ 4(15) + 2(30) + c = 120 \Rightarrow 60 + 60 + c = 120 \Rightarrow c = 0 $$

📌 p(t) = 15t^2 + 30t

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