# How do you solve #8x=3x^2 - 1# using completing the square?

##### 1 Answer

#### Explanation:

Start by writing your equation in quadratic form

To solve this equation by completing the square you first need to find a way to write the left side of the equation as a **square of a binomial**.

Move the term that does not contain

Now divide everything by **3** to get

Next, divide the *coefficient* of the **2**, **square it**, then add the result to both sides of the equation. In your case, you have

Your quadratic will become

The left side of the equation can be written as

This will get you

Take the square roots of both sides to find the two solutions

The two solutions will be