Respuesta :

Answer:

[tex] \frac{1}{16}[/tex]

Step-by-step explanation:

[tex] {x}^{2} + \frac{1}{2} x + \frac{1}{16} \\ = {x}^{2} + 2\times \frac{1}{4} x + \bigg(\frac{1}{ {4}} \bigg) ^{2} \\ = \bigg(x + \frac{1}{4} \bigg)^{2} \\ [/tex]