Respuesta :

[tex]y^2+y+ \frac{1}{4} =(y+ \frac{1}{2} )^2[/tex]

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Let us see the standard form of an quadratic equation converted form of complete square .

[tex](a+b)^2=a^2+2*a*b+b^2[/tex]

The first two terms given are

[tex]y^2+y\\=y^2+2*\frac{1}{2}*y[/tex]

Hence comparing it with our standard form

The constant term must be the square of the middle term. That it [tex](\frac{1}{2})^2=\frac{1}{4}[/tex]