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Class 10 Maths Chapter 4 Quadratic Equations NCERT Solutions PDF

Find clear and accurate quadratic equation class 10 explanations with step-by-step methods to solve questions with solutions. These NCERT solutions help students understand concepts, practise effectively, and prepare confidently for exams.
authorImageAnanya Gupta20 Nov, 2025
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NCERT Solutions for Class 10 Maths Chapter 4

Class 10 Maths Chapter 4 Quadratic Equations NCERT Solutions: NCERT Solutions for Class 10 Maths Chapter 4 Quadratic Equations provide step-by-step explanations to help students understand and solve quadratic equations problems easily.

These quadratic equations class 10 solutions strengthen concepts like factorisation, completing the square, and the quadratic formula. The standard form of a quadratic equation is ax² + bx + c = 0, where a ≠ 0, helping students revise quickly and prepare confidently for exams.

Exercise-Wise Learning Breakdown for Class 10 Maths Chapter 4 Quadratic Equations

Chapter 4 helps students master different methods of solving quadratic equations through simple, structured exercises. Concepts progress from basic factorisation to the quadratic formula and real-life applications. These NCERT exercises build accuracy and confidence for board exam preparation.

  • Exercise 4.1: Introduction to quadratic equations and solving by factorisation.

  • Exercise 4.2: Solving quadratic equations by completing the square.

  • Exercise 4.3: Using the quadratic formula to find roots of equations

Class 10 Maths Chapter 4 Quadratic Equations Exercises Links (4.1 to 4.3) 

How to Solve Class 10 Maths Chapter 4: Quadratic Equations

Solving Chapter 4 becomes easier when you understand the different methods to find roots of quadratic equations. Focus on factorisation, completing the square, and using the quadratic formula for accurate solutions. Practising quadratic equation class 10 questions with solutions helps build confidence and strengthen problem-solving skills for exams.

  • Understand the standard form: A quadratic equation is written as ax² + bx + c = 0, where a ≠ 0.

  • Solve by factorisation: Express the quadratic as a product of two binomials and find the values of x.

  • Complete the square: Rewrite the equation in the form (x + p)² = q and solve for x.

  • Use the quadratic formula: Apply x = [-b ± √(b² - 4ac)] / 2a for any quadratic equation.

  • Check solutions: Substitute the roots back into the original equation to verify correctness.

  • Apply to word problems: Translate real-life situations into quadratic equations and solve using any of the above methods.

Quadratic Equations One Shot Full Video

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Class 10 Maths Chapter 1 Real Numbers NCERT Solutions FAQs

What is a quadratic equation in Class 10 Maths?

A quadratic equation class 10 is an equation in the form ax² + bx + c = 0, where a ≠ 0. It involves the square of the variable x and appears in many real-life and mathematical problems.

How are quadratic equations solved in Class 10?

Quadratic equations class 10 solutions can be found using methods like factorisation, completing the square, or the quadratic formula. Exercises like quadratic equation class 10 exercise 4.1 and class 10 quadratic equations exercise 4.2 give step-by-step practice

What is the quadratic formula?

The quadratic formula is x = [-b ± √(b² - 4ac)] / 2a. It provides the roots of any quadratic equation and is covered in class 10 maths quadratic equation solutions for all types of problems.

What are the applications of quadratic equations?

Quadratic equations appear in physics, geometry, and real-life scenarios. Practising quadratic equation class 10 questions with solutions helps students solve word problems efficiently and build confidence for exams.
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