# How do you find the roots for #x^2 – 14x – 32 = 0#?

##### 2 Answers

In an equation of the following form

the method to find the roots is:

1) calculate

2) if

3) if

and

4) if

*Example:*

Let us check the validity of our results:

There are several methods we could use. Here's one.

Notice that

So, if the signs work out, we can factor.

So,

Thus, we need

The solutions are: