RD Sharma Solutions Class 10 Maths Chapter 8 Exercise 8.4 Quadratic Equations
RD Sharma Solutions Class 10 Maths Chapter 8 Exercise 8.4 Quadratic Equations has been provided here. Students can refer to these questions before their examinations for better preparation.
Neha Tanna19 Nov, 2024
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RD Sharma Solutions Class 10 Maths Chapter 8 Exercise 8.4: Chapter 8 of RD Sharma Class 10 Maths, titled Quadratic Equations, focuses on solving quadratic equations using various methods. Exercise 8.4 specifically deals with the factorization method for finding the roots of quadratic equations.
In this exercise, students learn to express a quadratic equation in the standard form and split the middle term to factorize it into two linear factors. The roots are then obtained by equating each factor to zero. This method strengthens algebraic manipulation skills and lays a foundation for more advanced mathematical concepts in higher classes.RD Sharma Solutions Class 10 Maths Chapter 8 Exercise 8.4 Overview
Quadratic Equations is a crucial topic for strengthening problem-solving and analytical skills. Exercise 8.4 focuses on solving quadratic equations using the factorization method, an essential technique for breaking down complex problems into simpler steps. Mastering this method is vital as quadratic equations form the foundation for higher mathematics and practical applications in physics, engineering, and economics. This exercise sharpens logical reasoning and enhances understanding of roots and coefficients. Practicing these problems ensures students are well-prepared for board exams and competitive tests, while also building confidence in handling real-life scenarios involving quadratic relationships.RD Sharma Solutions Class 10 Maths Chapter 8 Exercise 8.4 PDF
Below, we have provided the RD Sharma Solutions for Class 10 Maths Chapter 8 Exercise 8.4 on Quadratic Equations in PDF format. These solutions offer a step-by-step explanation to help students understand and solve problems efficiently. Designed for exam preparation, the solutions cover all types of quadratic equations with detailed methods. Download the PDF to access these comprehensive and easy-to-follow solutions anytime.RD Sharma Solutions Class 10 Maths Chapter 8 Exercise 8.4 PDF
RD Sharma Solutions Class 10 Maths Chapter 8 Exercise 8.4 Quadratic Equations
Below is the RD Sharma Solutions Class 10 Maths Chapter 8 Exercise 8.4 Quadratic Equations -Find the roots of the following quadratic equations (if they exist) by the method of completing the square.
1. x 2 – 4√2 x + 6 = 0
Solution:
Given equation,
2. 2x 2 – 7x + 3 = 0
Solution:
Given equation, 2x 2 – 7x + 3 = 0
⇒ x = 12/4 = 3 or x = 2/4 = 1/2
Thus, the roots of the given quadratic equation are x = 3 and x = 1/2.
3. 3x 2 + 11x + 10 = 0
Solution:
Given equation,
⇒ x = -5/3 = 3 or x = -2
Thus, the roots of the given quadratic equation are x = -5/3 and x = -2.
4. 2x 2 + x – 4 = 0
Solution:
Given equation, 2x 2 + x – 4 = 0
Thus, the roots of the given quadratic equation are
5. 2x 2 + x + 4 = 0
Solution:
Given equation, 2x 2 + x + 4 = 0 x 2 + x/2 + 2 = 0
Thus, the above are the two roots of the given quadratic equation.
Benefits of Solving RD Sharma Solutions Class 10 Maths Chapter 8 Exercise 8.4
Below we have provided some of the benefits of solving RD Sharma Solutions Class 10 Maths Chapter 8 Exercise 8.4 Quadratic Equations -Enhanced Understanding of Quadratic Equations
This exercise focuses on solving quadratic equations using various methods like factorization, completing the square, and the quadratic formula. Practicing these methods builds a strong conceptual foundation.Improves Problem-Solving Skills
Solving a variety of problems in Exercise 8.4 helps develop logical thinking and problem-solving abilities, which are crucial for exams like board exams and competitive tests.Preparation for Exams
The solutions in RD Sharma are designed according to the CBSE syllabus and exam pattern. Practicing these questions helps students become familiar with the types of questions that might appear in the Class 10 board exams.Strengthens Calculation Accuracy
Quadratic equations require careful calculations, especially while using the quadratic formula. Regular practice reduces errors and improves accuracy.Boosts Confidence
Successfully solving problems from this exercise instills confidence, helping students tackle similar or more challenging questions in exams.Time Management
RD Sharma solutions include problems of varying difficulty levels. Practicing these problems trains students to manage their time effectively during exams.Clarification of Doubts
Detailed step-by-step solutions provided in RD Sharma allows students to understand the approach to each problem and clear any conceptual doubts.RD Sharma Solutions Class 10 Maths Chapter 8 Exercise 8.4 FAQs
What is the real life use of a B whole square?
The formula (a + b)², is often taught in basic algebra classes this simple formula represents the square of a sum and it is used in many practical situations like calculating areas and volumes and understanding financial concepts.
What is the shape of square in real life?
A square is a two-dimensional shape which has four sides of equal length. The opposite sides of a square are parallel to each other and all four interior angles are right angles. Paper napkins, chess boards, cheese slices, floor tiles, and so on are some real-life examples of square shaped objects.
How many algebraic identities are there?
There are four basic algebraic identities in maths. These four identities are helpful in performing numerous calculations and is also useful in deriving numerous other identities.
Why is it called quadratic?
The word "quadratic" comes from quadratum, the Latin word for square.
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