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Home » \[ yx - y = 2x + 3 \] - AMAZONAWS

\[ yx - y = 2x + 3 \] - AMAZONAWS

📅 March 5, 2026 👤 scraface

Mar 05, 2026

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📌 Usando la fórmula cuadrática \( x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \), donde \( a = 2 \), \( b = -4 \), \( c = -6 \).

📌 El discriminante es \( b^2 - 4ac = (-4)^2 - 4 \times 2 \times (-6) = 16 + 48 = 64 \).

📌 Las raíces son \( x = \frac{4 \pm \sqrt{64}}{4} = \frac{4 \pm 8}{4} \).

📌 Entonces, \( x = 3 \) o \( x = -1 \).

📌 #### 3, -1

📌 Los ingresos de una empresa se modelan por la función \( R(x) = -5x^2 + 150x \), donde \( x \) es el número de unidades vendidas. ¿Cuál es el ingreso máximo?

📌 El máximo ocurre en el vértice, \( x = -\frac{b}{2a} = -\frac{150}{2 \times -5} = 15 \).

📌 Sustituyendo de nuevo, \( R(15) = -5(15)^2 + 150 \times 15 = -1125 + 2250 = 1125 \).

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