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

##### 1 Answer

There are no Real solutions to this equation

but see below for method of completing the square

and for Complex value solutions.

#### Explanation:

Remember that a squared binomial takes the form

So if

and the third term must be

and the complete (expanded) square needs to be

Rewriting the given equation:

to include this complete (expanded) square:

or

or

We could note at this point that since any Real number squared is greater than or equal to

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If you have advanced to Complex numbers:

and