Respuesta :

Answers:

  • discriminant = d
  • number of roots = e
  • solutions = g

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Explanation:

Let's compute the discriminant. Here we have a = 1, b = 1, c = -2

d = b^2 - 4ac

d = 1^2 - 4(1)(-2)

d = 9

The fact that d > 0 tells us we have two different real number solutions.

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We can use the quadratic formula to solve, or we can factor. I'll use the factor method.

x^2 + x - 2 = 0

(x - 1)(x + 2) = 0

x-1 = 0 or x+2 = 0

x = 1 or x = -2

The two solutions are -2 and 1