How do you solve #3x^2+5x=2# by completing the square?
The goal of completing the square is to convert the equation into a perfect square trinomial. The benefit of this form is to be able to identify the vertex of a parabola very easily.
Factor out a 3
Take the coefficient from the x term and divide it by 2 and then square it.
We now have a perfect square trinomial that can be written in a more compact form
For more information please see the video tutorials below.