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.

Which method involves splitting the middle term into two linear factors?

• Quadratic formula

• Completing the square

• Graphical method

• Factorization

What is the first step in the method of completing the square?

• Multiply by a constant

• Divide the equation by the coefficient of x squared

• Add and subtract a constant

• Take the square root

What is the expression b squared minus 4ac known as?

• Constant term

• Discriminant

• Quadratic formula

• Linear factor

Which formula is used to find the roots of a quadratic equation?

• Graphical method

• Quadratic formula

• Completing the square

• Factorization method

If the discriminant is greater than 0, what can be said about the roots?

• They do not exist

• They are equal

• They are real and distinct

• They are complex

What happens when the discriminant is equal to 0?

• The roots are real and distinct

• The roots are equal

• The roots are complex

• There are no roots

What is the nature of roots if the discriminant is less than 0?

• Equal

• Real and distinct

• Complex

• Non-existent