Answers

  • Brainly User
2016-06-14T09:18:12+08:00
ANSWER:   c. 2

Remember this:

To find the nature of roots of a quadratic equation, solve for its discriminant:

Discriminant = b² - 4ac

Given:  x² + 5x + 7 = 0       ⇒      ax² + bx + c = 0

a = 1        b = 5       x = 7

Discriminant = b² - 4ac
                    = (5)² - 4(1)(7)
                    = 25 - 28
                    = -3
Discriminant is -3 which is less than 0.

If the:
Discriminant > 0  ⇒  there are two real roots
Discriminant < 0  ⇒  there two complex roots
Discriminant = 0  ⇒  there is one real root (the equation is a perfect square trinomial.


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