# How do you solve the quadratic equation by completing the square: #4x^2 + 9 = 12x#?

##### 1 Answer

*multiplicity 2* ).

#### Explanation:

First, rearrange so the

Next, factor out the coefficient of

Next, you can either divide both sides by 4 before completing the square or complete the square first. Let's complete the square on

Once you've done this procedure, the expression inside the parentheses will be a perfect square. In this case, we can write:

In general, we can now divide both sides by the coefficient in front, which is 4 in this case. Since

Now take the