Question

How do you find the missing number or term to make a perfect square trinomial. `y^2 - 7y +___`?

Answer 1

General form for a perfect (binomial) square:
`(y+a)^2 = y^2+2ay+a^2`

Given `y^2-7y+ ?`

`(-7y) = 2ay`

`rarr a= (-7/2)`

`rarr a^2 = 49/4`

The missing term is `49/4`