Question

Choose the constant term that completes the perfect square trinomial. y2 + y +1/16 +1/4 +1

Answer 1

$y^2+y+ \frac{1}{4} =(y+ \frac{1}{2} )^2$

Answer 2

Answer:

$\frac{1}{4}$

Step-by-step explanation:

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

$(a+b)^2=a^2+2*a*b+b^2$

The first two terms given are

$y^2+y\\=y^2+2*\frac{1}{2}*y$

Hence comparing it with our standard form

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