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Sphinxa [80]
1 year ago
10

Sorting Quadratic Function Discriminants

Mathematics
1 answer:
nataly862011 [7]1 year ago
5 0

The number of zeros of the quadratic functions, considering their discriminant, is given as follows:

  • discriminant = 0: 1 Real number solution.
  • discriminant = -36: 0 Real number solutions.
  • discriminant = 3: 2 Real number solutions.
  • discriminant = 2: 2 Real number solutions.
  • discriminant = 100: 2 Real number solutions.
  • discriminant = -4: 0 Real number solutions.

<h3>What is the discriminant of a quadratic equation and how does it influence the solutions?</h3>

A quadratic equation is modeled by:

y = ax^2 + bx + c

The discriminant is:

\Delta = b^2 - 4ac

The solutions are as follows:

  • If \mathbf{\Delta > 0}, it has 2 real solutions.
  • If \mathbf{\Delta = 0}, it has 1 real solutions.
  • If \mathbf{\Delta < 0}, it has 0 real solutions.

Hence, for the given values of the discriminant, we have that:

  • discriminant = 0: 1 Real number solution.
  • discriminant = -36: 0 Real number solutions.
  • discriminant = 3: 2 Real number solutions.
  • discriminant = 2: 2 Real number solutions.
  • discriminant = 100: 2 Real number solutions.
  • discriminant = -4: 0 Real number solutions.

More can be learned about quadratic functions at brainly.com/question/24737967

#SPJ1

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