Khan Academy
Khan Academy: Inverting Matrices: Singular Matrices
Video explains why a matrix is singular if its determinant is 0. Relates why the inverse does not exist to solving systems of linear equations and vector combinations.
Khan Academy
Khan Academy: The Quadratic Formula: Example 3: Using the Quadratic Formula
Explains how to determine the number of solutions a quadratic equation has based on the value of the discriminant.
Sophia Learning
Sophia: Figuring Out the Discriminant
Students learn how to determine the discriminant and use it to find the real solutions to a quadratic equation. Videos and graphs are included in the resource.
Sophia Learning
Sophia: Using the Discriminant: Lesson 2
This lesson walks you through the steps to use the discriminant to determine the nature of the roots of the equation. It is 2 of 10 in the series titled "Using the Discriminant." Includes short quiz. [3:16]
Sophia Learning
Sophia: Using the Discriminant: Lesson 3
This lesson walks you through the steps to use the discriminant to determine the nature of the roots of the equation. It is 3 of 10 in the series titled "Using the Discriminant." Includes short quiz. [4:12]
Sophia Learning
Sophia: Using the Discriminant: Lesson 4
This lesson walks you through the steps to use the discriminant to determine the nature of the roots of the equation. It is 4 of 10 in the series titled "Using the Discriminant." Includes short quiz. [3:27]
Sophia Learning
Sophia: Using the Discriminant: Lesson 6
This lesson walks you through the steps to use the discriminant to determine the nature of the roots of the equation. It is 6 of 10 in the series titled "Using the Discriminant." Includes short quiz. [2:37]
Sophia Learning
Sophia: Using the Discriminant: Lesson 8
This lesson walks you through the steps to use the discriminant to determine the nature of the roots of the equation. It is 8 of 10 in the series titled "Using the Discriminant." Includes short quiz. [2:15]
Sophia Learning
Sophia: Using the Discriminant: Lesson 10
This lesson walks you through the steps to use the discriminant to determine the nature of the roots of the equation. It is 10 of 10 in the series titled "Using the Discriminant." Includes short quiz. [3:15]