In this lesson on completing the square, the instructor explains how to manipulate quadratic expressions to find the solutions to a given equation. They provide a step-by-step example of completing the square and deriving the quadratic formula, as well as discussing how to use the discriminant to determine the number of solutions and how to graph a quadratic equation. The lesson emphasizes that x can have two values when the discriminant is greater than 0, one value when the discriminant is equal to 0, and no real values when the discriminant is less than 0. The instructor also demonstrates how to apply these concepts to graphing quadratic equations.
A coherent explanation of Completing the Square in a way that makes sense and you can follow. Also, an example problem of completing the square, as well as a lead-in to the quadratic formula by completing the square. Finally, an explanation of how the discriminant can be used and how to graph a quadratic equation.