How to solve a quadratic using the quadratic formula

The video tutorial explains how to solve quadratic equations using the quadratic formula. It begins by introducing the standard form of a quadratic equation and identifying the coefficients A, B, and C. The instructor then demonstrates how to apply these coefficients in the quadratic formula to find solutions. The concept of the discriminant is introduced to determine the nature of the solutions, whether real or imaginary. The tutorial concludes with solving an example using imaginary numbers and simplifying the results.

What does the discriminant tell us about the solutions of a quadratic equation?

How can you simplify the solutions of a quadratic equation when they involve imaginary numbers?