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Better Practice with RD Sharma Class 10 Solutions Chapter 8 - Exercise 8.7

Last updated date: 23rd Nov 2023
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MVSAT Dec 2023

RD Sharma Class 10 Solutions Chapter 8 - Quadratic Equations Exercise 8.7 - Free PDF

Free PDF download of RD Sharma Class 10 Solutions Chapter 8 - Quadratic Equations Exercise 8.7 solved by Expert Mathematics Teachers of All Chapter 8 - Quadratic Equations Exercise 8.7 Questions with Solutions for RD Sharma will help you to revise and complete the syllabus and to score more marks. Register for online coaching for IIT JEE (Mains & Advanced) and other Engineering entrance exams.

Every NCERT Solution is provided to make the study simple and interesting on Vedantu. is No.1 Online Tutoring Company in India Provides you Free PDF download of Class 10 Maths NCERT Solutions solved by Expert Teachers as per NCERT (CBSE) Book guidelines. All Chapter wise Questions with Solutions to help you to revise complete Syllabus and Score More marks in your examinations.

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Significance of RD Sharma Class 10 Chapter 8 Solutions

Vedantu offers a free download of RD Sharma’s Class 10 solution for Chapter 8, Quadratic Equations, Ex 8.7. Solutions solved and compiled by subject matter experts and esteemed faculty members of Vedantu.

Quadratic equations are found and needed in various applications.  Students can check the RD Sharma Class 10  Solutions for any theoretical questions. All answers to Class 10  Chapter 8 - Quadratic Equations (Ex 8.7) along with a detailed explanation are available here. Step by step solutions for all equations have been clearly mentioned, which will help students understand the concepts better and in an easier manner.

Solved Example of Quadratic Equations

Shared here is an example from RD Sharma Class 10 Solutions from Chapter 8, of  Ex 8.7, along with the solution:

Find two consecutive numbers whose squares have the sum 85. (from CBSE Question paper of  2000).


Let first number = x

Then second number = x + 1

According to the condition

x² + (x + 1)² = 85

⇒ x² + x² + 2x + 1 = 85

⇒ 2x² + 2x + 1 – 85 = 0

⇒ 2x² + 2x – 84 = 0

⇒ x² + x – 42 = 0

⇒ x² + 7x – 6x – 42 = 0

⇒ x (x + 7) – 6 (x + 7) = 0

⇒ (x + 7) (x – 6) = 0

Either x + 7 = 0, then x = -7 or x – 6 = 0, then x = 6

(i) If x = -7, then the first number = -7 and second number = -7 + 1 = -6

(ii) If x = 6, then the first number = 6 and second number = 6 + 1 = 7

Hence numbers are -7, -6 or 6, 7.

Similar and more examples with solutions can be found on Vedantu, giving students an understanding of the used concepts.

Practising such examples from RD Sharma Class 10 Solution for Chapter 8, Ex.8.7, will help students understand and also learn the required concepts of Quadratic Equations. Solutions given and explained step by step, coupled with regular practice will ensure that the students will be able to score full, or very high marks, as Maths is known to be an otherwise high-scoring subject.

Serious and dedicated practising of the Quadratic Equations of Chapter 8, and using the RD Sharma Class 10 Solutions available on Vedantu will help boost the confidence in students and enable them in scoring better at the Board exams. 

Understanding the concept of the complicated quadratic equations becomes simpler by following the concepts and procedures used in the PDF Downloads available on the Vedantu website. 

Why wait then? Make your practice better by referring to the solutions for this chapter compiled by the top Vedantu experts. Download this solution PDF for Exercise 8.7 Chapter 8 Class 10 RD Sharma from Vedantu and utilize your mathematics study sessions in a better way. 

FAQs on Better Practice with RD Sharma Class 10 Solutions Chapter 8 - Exercise 8.7

1. Where can I find the RD Sharma Class 10 Solutions Chapter 8, Quadratic Equations of  Ex. 8.7?

RD Sharma Class 10 Solutions, Chapter 8, on Quadratic Equations, of Ex.8.7 are easily available on the internet, on the Vedantu website. The solutions available here have been accurately analyzed, explained, and compiled by subject experts with huge experiences.

2. How helpful for Board exams is the RD Sharma Class 10 Quadratic Equations Solutions of Chapter 8?

Properly worked out solutions, with proper explanations and graphic descriptions, the RD Sharma Class 10 Solutions Chapter 8 on Quadratic Equations is extremely beneficial for students. It also aids students in time management and overall discipline required during the Board exams. They can also evaluate their preparation level by comparing their answers to those provided by expert mentors. 

3. Why are RD Sharma Class 10 Solutions needed for the preparation for the exam?

Analyzed and well-organized solutions with an easy-to-understand attitude make the RD Sharma Class 10 Solutions a much-needed study material to ensure success and good score at the Class 10 Board exams. It offers accurate steps to solve the problems mentioned in the exercises of this chapter. Students can understand the concepts used in solving these questions and can also stick to the CBSE guidelines to write answers to such questions. 

4. Why is it necessary to solve all problems in the given RD Sharma Class 10 Solutions Chapter 8 - Quadratic Equations (Ex 8.7)? 

In order to do well and secure high marks, it is always recommended to practice all possible Solutions that are in Chapter 8 Quadratic Equations Ex.8.7. This ensures students gain very high marks in their exams. RD Sharma Class 10 Chapter 8 consists of Quadratic Equations and their many determinations and formulations. Solving all the problems will give an idea of the question formats that might come in the board exams. Students will get accustomed to such formats and will be prepared. By referring to the solution from Vedantu, a student can also excel in answering such questions and save time simultaneously.