Respuesta :

Step-by-step explanation:

[tex]f(x) = {x }^{2} - 8x + 16 \\ \therefore \: f(x) = (x - 4)^{2} \\ when \: f(x) = 0 \\\implies (x - 4)^{2} = 0 \\ \therefore \: x - 4 = 0 \\ \therefore \: x= 4 \: only[/tex]