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What is the discriminant of the quadratic equation minus, 9, x, squared, minus, 7, x, minus, 7, equals, 0−9x 2 −7x−7=0?AnswerMultiple Choice Answers203203minus, 301−301minus, 203−203301301

Question

What is the discriminant of the quadratic equation minus, 9, x, squared, minus, 7, x, minus, 7, equals, 0−9x 2 −7x−7=0?AnswerMultiple Choice Answers203203minus, 301−301minus, 203−203301301

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Solution

Para encontrar el discriminante de la ecuación cuadrática 9x27x7=0 -9x^2 - 7x - 7 = 0 , utilizamos la fórmula del discriminante Δ=b24ac \Delta = b^2 - 4ac .

Primero, identificamos los coeficientes a a , b b y c c de la ecuación cuadrática ax2+bx+c=0 ax^2 + bx + c = 0 :

  • a=9 a = -9
  • b=7 b = -7
  • c=7 c = -7

Ahora, sustituimos estos valores en la fórmula del discriminante:

Δ=b24ac \Delta = b^2 - 4ac

Δ=(7)24(9)(7) \Delta = (-7)^2 - 4(-9)(-7)

Δ=494(9)(7) \Delta = 49 - 4 \cdot (-9) \cdot (-7)

Δ=49463 \Delta = 49 - 4 \cdot 63

Δ=49252 \Delta = 49 - 252

Δ=203 \Delta = -203

Por lo tanto, el discriminante de la ecuación cuadrática es 203-203.

La respuesta correcta es: 203-203.

This problem has been solved

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