Question

How many real zeros does the following quadratic function have?
f(x) = - 5x ^ 2 + 6x + 4

Answer 1

2

Explanation:

Find the discriminant:

D = b² − 4ac

If the discriminant is positive (D > 0), there are 2 real zeros.

If the discriminant is zero (D = 0), there is 1 real zero.

If the discriminant is negative (D < 0), there are no real zeros.

In this case, a = -5, b = 6, and c = 4.

D = (6)² − 4(-5)(4)

D = 36 + 80

D = 116

D > 0

There are 2 real zeros.