In this lecture you will learn how to Complete the Square. You will begin with an overview of the Square Root Property before diving into techniques of Completing the Square. Then, you will start to Solve Equations and move onto Equations where 'a' is Not Equal to One. Lastly, you will cover Complex Solutions before the four end examples.
You can solve
quadratic equations by taking the square root of both sides of the
equation. To do this, the quadratic expression must be a perfect
square to make the quadratic expression into a perfect square. Take
one half of the coefficient of the linear term, square it, and add
it to both sides of the equation.
If the coefficient
of the quadratic term is not 1, you must first factor this
coefficient out of the quadratic and linear term and then complete
the square for the new quadratic expression which now has a
coefficient of 1.
Completing the Square
Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.