# How do you solve the quadratic equation by completing the square: #5x^2 + 8x - 2 = 0#?

##### 1 Answer

#### Explanation:

To solve this quadratic by completing the square, you first need to get your quadratic to the form

#color(blue)(x^2 + b/a = -c/a)#

In your case, this means adding

Next, use the coefficient of the **square of a binomial**.

More specifically, divide said coefficient by **square** the result, then add it to both sides of the equation

Your equation will now look like this

The left side of the equation can be written as

This means that you now have

Take the square root of both sides to get

The two solutions to your quadratic will be