What do I need to know to solve a quadratic by the quadratic formula

The video tutorial explains how to solve quadratic equations using the quadratic formula. It begins with an introduction to the quadratic formula and its components, followed by methods to solve quadratic equations, such as factoring and completing the square. The tutorial then delves into the discriminant, explaining its significance in determining the number of solutions a quadratic equation can have. Finally, it discusses the types of solutions possible, based on how the quadratic equation interacts with the x-axis.

How do you solve a quadratic equation using the quadratic formula?

What are the conditions under which a quadratic equation can touch the x-axis?