Question

Find the zero of the function.
f(x)= 4x^2– 12x+9

Answer 1

The zero is x = 3/2 = 1.5

Explanation:

We recognize that the trinomial 4 x^2 - 12 x + 9 is a perfect square trinomial, which comes from the following squared binomial:

(2 x - 3)^2

Therefore, the zeros are the x-values that verify the following:

(2 x - 3)^2= 0

that is (2 x - 3) = 0 and solving for "x":

2 x = 3

x = 3 / 2

x = 1.5