# How do you solve #x^2 - 5x + 1 = 0# by completing the square?

##### 1 Answer

#### Explanation:

Starting from the general form of the quadratic equation

get your quadratic to the form

In your case,

Now, in order to solve this equation by completing the square, you need to find a term to add to both sides of the equation such that the left side of the equation can be written as the **square of a binomial**.

The *coefficient* of the

So, divide this coefficient by **2**, then **square** the result. In your case, you have

This means that the quadratic becomes

Using the formula for the *square of a binomial*

the left side of the equation can now be written as

Your quadratic is now equivalent to

Take the square root of both sides to get

The two solutions to this equation will be