# How do you solve the quadratic equation by completing the square: #2x^2 - 3x + 1 = 0#?

##### 1 Answer

#### Answer:

#### Explanation:

The first thing you need to do is get your quadratic to the form

To do that, add **2**, the coefficient of

The idea behing using the completing the square technique is that you need to write the left side of the equation as a **square of a binomial** by adding a term to both sides of the equation.

This term can be found by dividing the *coefficient* of the **2**, then **squaring it**. In your case, you have

Your quadratic now becomes

The left side of the equation can now be written as

This means that you have

Take the square root of boths sides to get

The two solutions of the quadratic will thus be