# How do you solve using the completing the square method #r^2 + 14r = -13#?

##### 3 Answers

We could have a go at **factoring** that, but **completing the square** is the next step down the list and is what you are asking for.

It is the **Quadratic Equation** without having to remember a formula!

So:

[Remember that:

Now:

We can check that:

See the method outlined below:

#### Explanation:

First, write it in general form:

Add bracket around the terms that contain

Now, take half of the value of

Move the subtracted

By design, the part on the brackets is a perfect square:

It is now in standard form, so you are done.

The vertex is at (-7, -36).