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kvv77 [185]
3 years ago
5

Determine the discriminant for the given equation x^2+4x+5=0. Then describe the roots(how many and what type).

Mathematics
1 answer:
Fed [463]3 years ago
3 0

Discriminant = b^2 - 4ac, where a, b and c come from the form of the quadratic equation as ax^2 + bx + c

Discriminant = (4)^2 - 4(1)(5)
= 16 - 20
= -4

-4 < 0, therefor there are no roots

(If the discriminant = 0, then there is one root
If the discriminant > 0, there are two roots, and if it is a perfect square (eg. 4, 9, 16, etc.) then there are two rational roots
If the discriminant < 0, there are no roots)
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The function is represented by the following definition:

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