# Question #7b4af

##### 1 Answer

The completed square:

Factorized:

#### Explanation:

In order for this to be a perfect square, there must only be one, and only one root.

The reason for this is that any quadratic:

In this case, the two roots of x would be:

Since:

(You get the point)

Notice how there are 2 terms in the factorized equation. In order to complete a perfect square, we must follow this format:

In order for that to happen,

So, the discriminant =

Now, we can plug this in and solve, using

Since

So,

Then we can piece this all together:

We have *completed* this square with