Question

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

Answer 1

`y^2+y+ (1)/(4) =(y+ (1)/(2) )^2`

Answer 2

`(1)/(4)`

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*(1)/(2)*y`

Hence comparing it with our standard form

The constant term must be the square of the middle term. That it
`((1)/(2))^2=(1)/(4)`