Quadratic Equations

Here is a clean description of the course:-

In this course, students will learn Quadratic Equations from basic to advanced, covering core concepts, formula derivations, problem-solving techniques, and real-life applications. By the end of the course, they will be fully confident in solving all types of questions from NCERT, school exams, and competitive exams.

The topic will be taught over 3 classes, with each session being 2 hours long for complete understanding and practice.

What Students Will Learn in This Course

• A complete understanding of what quadratic equations are and how they differ from linear equations.

• How to identify, form, and convert expressions into the standard quadratic form ax² + bx + c = 0.

• The meaning and role of coefficients, constants, and roots in a quadratic equation.

• All major methods of solving quadratic equations, including:

  • Factorization

  • Completing the square

  • Quadratic formula

• Detailed understanding of the discriminant (D = b² − 4ac) and how it defines the nature of roots.

• Step-by-step derivations to build strong conceptual clarity and avoid rote learning.

• How to solve NCERT, board exam, and word problems confidently.

• Application-based questions to understand how quadratic equations appear in real-life situations like motion, area, and profit-loss problems.

• Strategies to avoid mistakes, improve accuracy, and choose the right solving method in exams.

• Overall, students will develop strong analytical skills and the confidence to approach any quadratic equation independently.