Discriminant for types of solutions for a quadratic  Algebra II  Khan Academy  Summary and Q&A
TL;DR
The discriminant helps determine the number and type of solutions in a quadratic equation.
Questions & Answers
Q: What does the discriminant determine in a quadratic equation?
The discriminant determines the number and type of solutions in a quadratic equation.
Q: How does the discriminant relate to the quadratic formula?
The discriminant is the expression under the radical sign in the quadratic formula, which helps find the solutions of a quadratic equation.
Q: What happens if the discriminant is greater than 0?
If the discriminant is greater than 0, the quadratic equation has two real solutions.
Q: What does it mean if the discriminant is less than 0?
If the discriminant is less than 0, the quadratic equation has two complex solutions, which are conjugates of each other.
Summary & Key Takeaways

The discriminant is used to find the number and nature of the solutions in a quadratic equation.

If the discriminant is greater than 0, there are two real solutions.

If the discriminant equals 0, there is one real solution.

If the discriminant is less than 0, there are two complex solutions.