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Home » Final answer: $\boxed-\frac132 + \frac5\sqrt72$ - jntua results

Final answer: $\boxed-\frac132 + \frac5\sqrt72$ - jntua results

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 Si una ecuación cuadrática \(ax^2 + bx + c = 0\) tiene raíces \(x = 3\) y \(x = -2\), ¿cuál es la ecuación si \(a = 1\)?

📌 Usando las raíces, la ecuación se puede escribir como \((x-3)(x+2) = 0\).

📌 Expandiendo esto, \(x^2 - 3x + 2x - 6 = x^2 - x - 6 = 0\).

📌 Dado que \(a = 1\), la ecuación es \(x^2 - x - 6 = 0\).

📌 #### \(x^2 - x - 6 = 0\)

📌 Un tanque de agua se está llenando a un ritmo de 5 litros por minuto. Si el tanque ya contiene 20 litros y tiene una capacidad total de 100 litros, ¿cuánto tiempo tomará llenar el tanque por completo?

📌 El tanque necesita 100 - 20 = 80 litros más para estar lleno.

📌 A 5 litros por minuto, tomará 80/5 = 16 minutos.

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