# How do you solve the quadratic equation by completing the square: #x^2-2x-5=0#?

##### 1 Answer

#### Explanation:

Start by writing your quadratic in the form

In your case,

In order to solve this quadratic by completing the square, you need to write the left side of this equation as a **square of a binomial** by adding a term to both sides of the equation.

You can determine what this term must be by dividing the *coefficient* of the **2**, then **squaring** the result.

In your case, you have

This means that the quadratic becomes

The left side of the equation can now be written as

This means that you have

Take the square root of both sides to get

The two solutions to your quadratic will thus be