# How do you solve using the completing the square method # x^2-14x+45=0#?

##### 1 Answer

There must be two answers because it is a quadratic equation.

#### Explanation:

Completing the square is a method based on the product of the square of a binomial:

This is in the form of a quadratic equation :

Notice that

the first and last terms are always perfect squares.

There is a specific relationship between

If you have a trinomial in this form it can be written as

Complete the following square:

Do you see that the missing value is 25?

Let's look at your question:

In

Move 45 to the other side:

Add the required value TO BOTH SIDES

now: