# How do you find the value of "a" such that #t^2 + 8t +a# is a perfect square?

##### 2 Answers

You can use the algebraic identity

If you compared these two expressions, you'll notice that

Since, in your case,

and

Your expression will become

We can apply the identity

The middle term **2 * First Term(a) * Second Term(b)**

So we can write the middle term of '

It tells us that the first term is 't' and the second one is '4'

Hence