Adam Panagos / Engineer / Lecturer

## Algebra

A few algebra videos I made for my son to help him review.

9.5 Completing the Square: When a = 1

3/29/20

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

3/29/20

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

3/29/20

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

3/29/20

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

3/29/20

Running Time: 5:08

We use the quadratic formula to solve quadratic equations.

9.6 The Quadratic Formula: Appropriate Solutions

3/29/20

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

3/29/20

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.