Quadratic Equation : Formula Method & Nature of Roots

The video tutorial explains quadratic equations and their solutions using factorization and completing the square methods. It introduces the quadratic formula and the discriminant, showing how to find roots and determine their nature. Examples illustrate solving quadratic equations with different discriminant values, highlighting when roots are real, equal, or non-real.

What are the two methods used to find the solutions or roots of a quadratic equation?

Explain the factorization method for solving quadratic equations.

Describe the method of completing the square.

What is the quadratic formula and how is it derived?

What does the discriminant of a quadratic equation indicate about the nature of its roots?

How do the roots of a quadratic equation change based on the value of the discriminant?

What happens when the discriminant is less than 0?