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What is the discriminant of the quadratic equation minus, x, squared, minus, 8, x, minus, 8, equals, 0−x 2 −8x−8=0?AnswerMultiple Choice Answersminus, 96−9696963232minus, 32−32

Question

What is the discriminant of the quadratic equation minus, x, squared, minus, 8, x, minus, 8, equals, 0−x 2 −8x−8=0?AnswerMultiple Choice Answersminus, 96−9696963232minus, 32−32

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Solution

Para encontrar el discriminante de la ecuación cuadrática x28x8=0 -x^2 - 8x - 8 = 0 , seguimos estos pasos:

  1. Identificamos los coeficientes a a , b b y c c de la ecuación cuadrática en la forma estándar ax2+bx+c=0 ax^2 + bx + c = 0 :

    • a=1 a = -1
    • b=8 b = -8
    • c=8 c = -8
  2. La fórmula del discriminante es Δ=b24ac \Delta = b^2 - 4ac .

  3. Sustituimos los valores de a a , b b y c c en la fórmula del discriminante: Δ=(8)24(1)(8) \Delta = (-8)^2 - 4(-1)(-8)

  4. Calculamos los términos: (8)2=64 (-8)^2 = 64 4(1)(8)=32 4(-1)(-8) = 32

  5. Restamos los resultados: Δ=6432=32 \Delta = 64 - 32 = 32

Por lo tanto, el discriminante de la ecuación cuadrática es 32 32 .

La respuesta correcta es: 32 32 .

This problem has been solved

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