xxbossbrianxx1750 xxbossbrianxx1750
  • 17-04-2019
  • Mathematics
contestada

If the discriminant of a quadratic equation is equal to -9, which statement describes the roots?

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kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 27-04-2019

ANSWER

No real roots.

The roots are complex or imaginary.

EXPLANATION

The quadratic equation

[tex]a {x}^{2} + bx + c = 0[/tex]

has discriminant,

[tex]D = {b}^{2} - 4ac[/tex]

If the discriminant is less than zero , then the quadratic equation has no real roots.

The given discriminant is -9.

Since -9 is less than zero, it means the quadratic equation has complex or imaginary roots.

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