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Objetivo: Determina la suma de las soluciones de una ecuación de segundo grado.

", "licence": "None specified"}, "statement": "

5) Determine la suma de las raíces de la ecuación de segundo grado $5x^2-20x+15=0$.

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    A) $-4$

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    B) $-3$

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    C) $3$

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    D) $4$

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Para determinar la suma de las soluciones de una ecuación de segundo grado de la forma $ax^2+bx+c=0$, debemos resolver la expresión $x_1+x_2= - \\Large \\frac{b}{a}$.

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Primero determinemos para la ecuación $5x^2-20x+15=0$ los valores  de $a$ y $b$, los cuales son $a=$[[0]]  y $b=$[[1]].

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Ahora reemplazamos en la expresión $x= - \\Large \\frac{b}{a}$ obteniendo:

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$x_1+x_2= - \\Large \\frac{b}{a}$.

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                                     [[2]]      

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$x_1+x_2= -$ _______ 

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                                 [[3]] 

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$x_1+x_2=$[[4]]

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La respuesta correcta es la alternativa: [[5]]

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