Adam Panagos / Engineer / Lecturer
Completing the Square and the Quadratic Formula
A few algebra videos I made for my son to help him review.
9.5 Completing the Square: When a = 1
3/29/2020
Running Time: 5:21
We solve quadratic equations by completing the square for the special case when a = 1.
9.5 Completing the Square: Perfect Square Trinomials
3/29/2020
Running Time: 5:04
We complete the square to find the value for c to make each expression a perfect-square trinomial.
9.5 Completing the Square: The Vertex Of A Parabola
3/29/2020
Running Time: 4:24
Given the equation for a parabola, we complete the square to easily identify the parabola vertex.
9.5 Completing the Square: When a is not 1
3/29/2020
Running Time: 5:34
We solve quadratic equations by completing the square when the coefficient a is NOT equal to 1.
9.6 The Quadratic Formula: Solving Equations
3/29/2020
Running Time: 5:08
We use the quadratic formula to solve quadratic equations.
9.6 The Quadratic Formula: Appropriate Solutions
3/29/2020
Running Time: 4:06
When working word problems that involve using the quadratic formula, one should be careful to choose a final solution that is appropriate.
9.6 The Quadratic Formula: Discriminant and Number of Solutions
3/29/2020
Running Time: 3:59
The discriminant of a quadratic equation is b^2 - 4ac. Depending on the value of the discriminant, the equation has either 2 real-valued solutions, 1 real-valued solution, or no real-valued solutions.