komaswifter
komaswifter komaswifter
  • 22-11-2021
  • Mathematics
contestada

Use the discriminant formula to find the number of x-intercepts in the graph of the equation.

x2 – 3x + 2 =y

b2 - 4ac

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sqdancefan
sqdancefan sqdancefan
  • 22-11-2021

Answer:

  2

Step-by-step explanation:

The values of a, b, c are ...

  a = 1, b = -3, c = 2

Then the discriminant is ...

  d = b^2 -4ac

  d = (-3)^2 -4(1)(2) = 9 -8 = 1

The discriminant is positive, so there are two x-intercepts.

_____

Additional comment

The indications given by the discriminant are ...

  d > 0, 2 real roots (2 x-intercepts)

  d = 0, 1 real root (1 x-intercept)

  d < 0, 2 complex roots (0 x-intercepts)

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