# How do you solve the quadratic equation by completing the square: #3x^2-9x=-1#?

##### 1 Answer

#### Explanation:

Starting from the general form of the quadratic equation

divide verything by

In your cae,

To solve this quadratic by completing the square, you need to write the left side of the equation as the **square of a binomial**. This can be done by adding a term to both sides of the equation.

The *coefficient* of the

So, divide this coefficient by **2**, then **square** the result to get

Adding

The general formula for the square of a binomial looks like this

You can use this formula to rewrite the left side of the equation as

Your quadratic becomes

Take the square root of both sides to get

The two solutions to your quadratic equation will thus be