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CBSE Class 10 Maths Chapter 4 Quadratic Equations Syllabus 2026–27

Learn Quadratic Equations in Class 10 Maths, where you solve equations like ax² + bx + c = 0. Use methods like factorisation, completing the square, and the quadratic formula. Understand the nature of roots using discrimination and prepare with syllabus, important topics, question types, and practice for CBSE 2026 exams.
authorImageAnshika Agarwal28 Apr, 2026
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CBSE Class 10 Maths Chapter 4

The Quadratic Equations chapter introduces important concepts related to equations of the form ax² + bx + c = 0, where a ≠ 0. This chapter covers key ideas such as solving quadratic equations by factorisation, completing the square, and using the quadratic formula. 

These concepts are essential for building a strong foundation in algebra in Class 10 Maths. A clear understanding of quadratic equations improves your problem-solving ability and helps you handle application-based questions effectively. 

What Will You Learn in Quadratic Equations?

The following are the main concepts you will study in this chapter:

  • Understand the standard form of a quadratic equation

  • Solve quadratic equations by factorisation

  • Solve equations by completing the square

  • Use the quadratic formula to find roots

  • Understand the discriminant and nature of roots

  • Apply quadratic equations to solve word problems

CBSE Class 10 Quadratic Equations Topics: Detailed Breakdown

Knowing the full syllabus makes preparation more focused. The following topics give a complete overview of the Quadratic Equations chapter:

Topic

Description

Quadratic Equation

Understanding the standard form ax² + bx + c = 0 and identifying coefficients. Learn how different values affect the equation and its solutions.

Factorisation Method

Solving equations by splitting the middle term into factors. This method is useful when the equation can be easily factorised.

Completing the Square

Converting the equation into a perfect square form to find roots. This method builds conceptual clarity and supports the derivation of formulas.

Quadratic Formula

Using the general formula to solve any quadratic equation. It works for all cases, including those not factorisable.

Discriminant

Understanding b² – 4ac to determine the nature of roots. Helps identify whether roots are real, equal, or imaginary without solving fully.

Word Problems

Applying quadratic equations to real-life situations. Involves forming equations and solving them step-by-step.

Important Topics in Quadratic Equations Chapter

Highlighting the important topics in Quadratic Equations helps you understand the most frequently tested concepts in exams. It allows focused preparation on key formulas, methods, and problem types for better scoring.

  • Quadratic formula

  • Nature of roots using discriminant

  • Factorisation method

  • Word problems based on equations

To ensure alignment with the latest CBSE guidelines and optimise your preparation, it is recommended to review the updated list of deleted topics for Class 10 Maths and focus only on the currently prescribed syllabus.

Also Check: Class 10th Quadratic Equations NCERT Solutions 

How to Strengthen Your Preparation for CBSE Class 10 Maths Exams?

Strong preparation in Class 10 Maths requires a balance of concept clarity, regular practice, and consistent revision. Focusing on the right resources and practising in an exam-oriented manner can help improve both accuracy and confidence.

  • Build clear concepts across all topics:
    Focus on understanding key concepts from the CBSE Class 10 Maths syllabus to solve different types of questions with confidence.

  • Practise NCERT questions thoroughly:
    Solve all Class 10 Maths NCERT questions multiple times, as they form the base of board exam preparation.

  • Revise formulas and identities regularly:
    Keep revising important formulas in Class 10 Maths to improve speed and reduce calculation errors.

  • Solve Previous Year Questions (PYQs):
    Practising CBSE Class 10 Maths PYQs helps you understand exam patterns and frequently asked questions.

  • Attempt sample papers consistently:
    Solve Class 10 Maths sample papers to improve time management and get familiar with the exam format.

  • Focus on important questions:
    Practise Class 10 Maths Most Important Questions (MIQs) to cover high-weightage topics effectively.

 

Class 10 Chapter 4 Quadratic Equations FAQs

How to solve quadratic equations in Class 10 Maths?

You can solve quadratic equations using factorisation, completing the square, or the quadratic formula. The method depends on the form of the equation and what makes the calculation easier.

What is the quadratic formula and when to use it?

The quadratic formula is used to find roots of any quadratic equation, especially when factorisation is not possible. It works for all types of quadratic equations.

How to find the nature of roots in quadratic equations?

You can use the discriminant (b² – 4ac) to determine the nature of roots. It tells whether the roots are real and distinct, equal, or not real.

Which method is best for solving quadratic equations in exams?

Factorisation is quickest when applicable, but the quadratic formula is the most reliable method for all types of questions.
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