Identify any zeros of y=x^2+4x+5.

A. There are no zeros.

B. (5,0), (4,0)

C. (-1,0), (-3,0)

D. (0,0)

A there are no real zeros

using the discriminant b² - 4ac to determine the nature of the zeros

for y = x² + 4x + 5 (with a = 1, b = 4 and c = 5)

• If b² - 4ac > 0 there are 2 real and distinct zeros

• If b² - 4ac = 0 there is a real and equal zero

• If b² - 4ac < 0 there are no real zeros

b² - 4ac = 16 - 20 = - 4

Since discriminant < 0 there are no real zeros