# How do you solve #x^2-6x+11=0# by completing the square?

##### 1 Answer

Jun 25, 2018

#### Answer:

#### Explanation:

Let's first subtract

When we complete the square of an equation of the form

We take half of our

Our

What I have in blue can be factored as

Taking the square root of both sides gives us

Which can be rewritten as

*Note that #i=sqrt(-1)#*. With this definition in mind, we now have

Adding

Hope this helps!