Solve a quadratic equation using the quadratic formula with two real solutions

The video tutorial guides students through solving a quadratic equation. It begins with identifying variables and setting the equation to zero. The instructor then explains how to find the discriminant and its role in determining the nature of solutions. Various methods for solving the equation, such as factoring, completing the square, and using the quadratic formula, are discussed. The quadratic formula is applied to find the real rational solutions, emphasizing the importance of the discriminant in the process.

What is the quadratic formula as described in the text?

Why is understanding the discriminant important in solving quadratic equations?

What are the final solutions obtained from the quadratic equation in the example?