Alright, let's re-write the first problem.
Okay, we have a quadratic equation. The purpose of "completing the square" is to add a constant to both sides of the equation so that we can turn the left side into some form of
Let's go step by step.
First, take the half of the
Second, square it.
Third, add that result to both sides of the equation.
Notice anything about the left side of the equation? It can be simplified into a form like
which is much easier to solve than what we had originally.
note the two answers.
I won't go over the other three questions because now that you know how to do complete the square, they should come really easily! Good luck!