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