4. Quadratic Equations

• Introduction, Definition and History

- What is a quadratic equation?

- What is the general form of a quadratic equation?

- Who studied quadratic equations for the first time?

Answers are in this video: https://youtu.be/PwHpNewoDoU

• Solutions and Methods

- What is a solution of a quadratic equation?

- How to find solutions for the given quadratic equations?

- What are different methods for finding solutions?

Answers are in this video: https://youtu.be/zih9wLjx1dE

• Factorisation method

- What is Factorisation?

- How Factorisation can be useful in finding the solutions?

- What is splitting the middle term?

Answers are in this video: https://youtu.be/sL3fgRY-92A

• Completing the square method

- How to convert a trinomial in to a PERFECT square of a binomial?

- How identity is useful in finding solution?

- How INDIAN MATHEMATICIANS first studied and solved quadratic equations?

Answers are in this video: https://youtu.be/RFxU-zkSo4E

• Formula method

- INDIANS were the first to derive the formula, how did the derived the formula?

- What is the easiest way to find the roots/solutions of a quadratic equation?

Answers are in this video: https://youtu.be/CplQKRgeid0

• Nature of roots

- What are different types of roots?

- On what basis, the roots are distinguished for a quadratic equation?

Answers are in this video: https://youtu.be/gW3bI44ey8U