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RD Sharma Solutions for Class 10 Maths Chapter 8 Quadratic Equations

By Karan Singh Bisht

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Updated on 21 Apr 2025, 11:13 IST

RD Sharma Solutions for Class 10 Maths Chapter 8 – Quadratic Equations are available here. As you prepare for the Class 10 Mathematics examination, understanding the key concepts and solving problems efficiently is essential for scoring full marks. To assist you, our team of subject experts has created the RD Sharma Solutions, offering step-by-step explanations for all exercise problems in line with the latest CBSE guidelines. If you aim for top marks, you're in the right place.

Chapter 8 of RD Sharma Class 10 focuses on Quadratic Equations, and it includes thirteen exercises. This chapter is crucial for Class 10 Mathematics, and mastering it is important. To help you understand and solve the problems effectively, our experts have provided detailed solutions to all exercises, available here at RD Sharma Solutions for Class 10.

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The key topics covered in this chapter include:

  • Determination of quadratic equations
  • Formulation of quadratic equations
  • Various methods to find the zeros or roots of quadratic equations, including factorization, completing the square, and using the quadratic formula
  • Practical applications of quadratic equations in real-life scenarios

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Access the RD Sharma Solutions for Class 10 Maths Chapter 8 – Quadratic Equations

1. Solve: x² – 5x + 6 = 0

Solution: We factor the quadratic: x² – 5x + 6 = 0

RD Sharma Solutions for Class 10 Maths Chapter 8 Quadratic Equations

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= (x – 2)(x – 3) = 0

Thus, x = 2 or x = 3.

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2. Solve: 2x² + 7x + 3 = 0

Solution: Using the factorization method:

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2x² + 6x + x + 3 = 0

(2x + 3)(x + 1) = 0

Thus, x = -3/2 or x = -1.

3. Solve: x² + 2√2x – 6 = 0

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Solution: Using the quadratic formula:

x = [-2√2 ± √((2√2)² - 4×1×(-6))]/(2×1)

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= [-2√2 ± √(8 + 24)]/2

= [-2√2 ± √32]/2

= [-2√2 ± 4√2]/2

Thus, x = (2√2)/2 = √2 or x = (-6√2)/2 = -3√2.

4. Solve: 3x² – 5x + 2 = 0

Solution: Factorizing:

3x² – 3x – 2x + 2 = 0

(3x – 2)(x – 1) = 0

Thus, x = 2/3 or x = 1.

5. Find the roots: x² – 4√3x + 12 = 0

Solution: Using the quadratic formula:

x = [-(-4√3) ± √((-4√3)² - 4×1×12)]/2

= [4√3 ± √(48 - 48)]/2

= (4√3 ± 0)/2

Thus, x = (4√3)/2 = 2√3.

(Repeated root.)

6. Solve: 2x² – 3x – 2 = 0

Solution: Using the quadratic formula:

x = [-(-3) ± √((-3)² - 4×2×(-2))]/(2×2)

= [3 ± √(9 + 16)]/4

= [3 ± √25]/4

Thus, x = (3 + 5)/4 = 2 or x = (3 – 5)/4 = -1/2.

7. Solve: x² – 7x + 10 = 0

Solution: Factorizing:

x² – 5x – 2x + 10 = 0

 (x – 5)(x – 2) = 0

Thus, x = 5 or x = 2.

8. Solve: 4x² – 12x + 9 = 0

Solution: Recognize it as a perfect square

(2x – 3)² = 0

Thus, 2x – 3 = 0 

x = 3/2.

9. Find the roots: x² + 5x + 6 = 0

Solution: Factorizing:

x² + 3x + 2x + 6 = 0

(x + 3)(x + 2) = 0

Thus, x = -3 or x = -2.

10. Solve: x² – 2x – 8 = 0

Solution: Factorizing:

x² – 4x + 2x – 8 = 0

(x – 4)(x + 2) = 0

Thus, x = 4 or x = -2.

11. Solve: 6x² – x – 2 = 0

Solution: Using factorization:

6x² – 4x + 3x – 2 = 0

 (3x – 2)(2x + 1) = 0

Thus,

x = 2/3 or x = -1/2.

12. Solve: 7x² + 14x + 7 = 0

Solution: Recognizing perfect square:

7(x² + 2x + 1) = 0

= 7(x + 1)² = 0

Thus,

x + 1 = 0 ⇒ x = -1.

RD Sharma Solutions for Class 10 Maths Chapter 8 FAQs

Where can I find detailed RD Sharma Solutions for Class 10 Chapter 8 Quadratic Equations?

You can find detailed and updated RD Sharma Solutions for Class 10 Maths Chapter 8 at trusted educational platforms like Infinity Learn. Their expert faculty provides step-by-step explanations, making it easier for students to grasp concepts and practice effectively for exams.

Are the RD Sharma Solutions for Chapter 8 updated for the 2025-26 syllabus?

Yes, Infinity Learn offers RD Sharma Solutions for Class 10 Chapter 8 that are completely updated as per the latest CBSE 2025-26 syllabus. The solutions strictly follow current exam patterns, ensuring students prepare with the most relevant and accurate material.

How do RD Sharma Solutions help in understanding Quadratic Equations better?

RD Sharma Solutions simplify the learning process by breaking down complex quadratic equations into easy-to-understand steps. With platforms like Infinity Learn, students get conceptual clarity, practice tips, and problem-solving strategies that boost confidence and exam performance.

Can I use RD Sharma Solutions from Infinity Learn for board exam preparation?

The RD Sharma Solutions for Class 10 Maths Chapter 8 available on Infinity Learn are tailored to help students excel in their board exams. They cover every exercise comprehensively, providing solved examples, shortcuts, and revision techniques aligned with CBSE guidelines.