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jok3333 [9.3K]
2 years ago
11

The discriminant of a quadratic equation is equal to -8, which statement describes the roots?

Mathematics
1 answer:
Maslowich2 years ago
6 0

Answer:

  (a)  There are two complex roots

Step-by-step explanation:

The discriminant of a quadratic function describes the nature of its roots:

  • <u>negative</u>: two complex roots
  • <u>zero</u>: one real root (multiplicity 2)
  • <u>positive</u>: two distinct real roots.

__

Your discriminant of -8 is <em>negative</em>, so it indicates ...

  There are two complex roots

_____

<em>Additional comment</em>

We generally study polynomials with <em>real coefficients</em>. These will never have an odd number of complex roots. Their complex roots always come in conjugate pairs.

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