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What is the discriminant of the quadratic equation 8, x, squared, minus, 8, x, plus, 5, equals, 08x 2 −8x+5=0?AnswerMultiple Choice Answers224224minus, 96−969696minus, 224−224

Question

What is the discriminant of the quadratic equation 8, x, squared, minus, 8, x, plus, 5, equals, 08x 2 −8x+5=0?AnswerMultiple Choice Answers224224minus, 96−969696minus, 224−224

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Solution

Para encontrar el discriminante de la ecuación cuadrática 8x28x+5=08x^2 - 8x + 5 = 0, utilizamos la fórmula del discriminante D=b24acD = b^2 - 4ac.

  1. Identificamos los coeficientes aa, bb y cc de la ecuación cuadrática ax2+bx+c=0ax^2 + bx + c = 0:

    • a=8a = 8
    • b=8b = -8
    • c=5c = 5
  2. Sustituimos los valores en la fórmula del discriminante: D=(8)2485 D = (-8)^2 - 4 \cdot 8 \cdot 5

  3. Calculamos cada término: (8)2=64 (-8)^2 = 64 485=160 4 \cdot 8 \cdot 5 = 160

  4. Restamos los valores obtenidos: D=64160=96 D = 64 - 160 = -96

Por lo tanto, el discriminante de la ecuación cuadrática es 96-96.

La respuesta correcta es: 96 \boxed{-96}

This problem has been solved

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