RS Aggarwal Solutions Class 10 Chapter 10 - Quadratic Equations (Ex 10A) Exercise 10.1

RS Aggarwal Solutions

RS Aggarwal Solutions Class 10 Chapter 10 - Quadratic Equations (Ex 10A) Exercise 10.1

Class 10 Chapter 10 - Quadratic Equations (Ex 10A) Exercise 10.1 RS Aggarwal Solutions - Free PDF

Free PDF download of RS Aggarwal Solutions Class 10 Chapter 10 - Quadratic Equations (Ex 10A) Exercise 10.1 solved by Expert Mathematics Teachers on Vedantu.com. All Ex 10.1 Questions with Solutions for RS Aggarwal Class 10 Maths to help you to revise the complete Syllabus and Score More marks. Register for online coaching for IIT JEE (Mains & Advanced) and other engineering entrance exams. Vedantu is a platform that also provides free CBSE Solutions and other study materials for students. You can also download NCERT Solutions Class 10 Maths to help you revise the complete syllabus and score more marks in your examination. Subjects like Science, Maths, English will become easy to study if you have access to NCERT Solution for Class 10 Science, Maths solutions, and solutions of other subjects that are available on Vedantu only.

Quadratic Equations: Overview

Quadratic Equations have the form ax² + bx + c = 0 and are second-degree algebraic expressions.The word "quadratic" comes from the word "quad," which means "square." A quadratic equation is an "equation of degree 2," in other words. A quadratic equation is used in a variety of situations. Did you know that a rocket's path is described by a quadratic equation when it is launched? In physics, engineering, and astronomy, a quadratic equation can be used in a variety of ways.

Second-degree equations in x with two answers are known as Quadratic Equations. These two answers for x are known as the roots of Quadratic Equations and are denoted by the letters (α, β). In the following content, we will learn more about the roots of a quadratic equation.

What is the definition of a quadratic equation?

An algebraic expression of the second degree in x is referred to as a quadratic equation. The standard form of the quadratic equation is ax² + bx + c = 0, where a, b are coefficients, x is the variable, and c is the constant term. The coefficient of x² is a non-zero term (a ≠0), which is the first requirement for an equation to be classified as a quadratic equation. The x² term is written first, then the x term, and finally the constant term when writing a quadratic equation in standard form. The numeric values of a, b, and c are usually written as integral values rather than fractions or decimals.

The Formula of Quadratic Equation

The most straightforward method for determining the roots of a quadratic equation is to use the Quadratic Formula. Some Quadratic Equations are difficult to factor, and in these cases, we can use this quadratic formula to find the roots as quickly as possible. The roots of the quadratic equation can also be used to find the sum of the roots and the product of the roots of the quadratic equation. The quadratic formula's two roots are presented as a single expression. The two distinct roots of the equation can be obtained using either the positive or negative sign.

Formula: [-b ± √(b² - 4ac)]/2a

FAQs on RS Aggarwal Solutions Class 10 Chapter 10 - Quadratic Equations (Ex 10A) Exercise 10.1

1. What do the roots of a quadratic equation look like?

The two values of x obtained by solving the quadratic equation are the roots of a quadratic equation. The roots of a quadratic equation are represented by the symbols alpha (𝛂) and beta (𝛃). The roots of the quadratic equation are also known as the zeros of the equation. We'll learn more about how to determine the nature of a quadratic equation's roots without actually solving the equation. Also, look up the formulas for finding the sum and product of the equation's roots.

2. Why should one refer to Vedantu RS Aggarwal Solutions?

Vedantu RS Aggarwal Solutions are the perfect study tool for students who often practice from the reputed reference book of RS Aggarwal. The salient features of Vedantu’s Solutions are:These solutions are prepared by experts in the field of Mathematics.

The solutions are prepared to guide the students to writing perfect step by step solutions for the exams.
The solutions follow easy to understand steps and provide diagrams wherever necessary.
The solutions by Vedantu are free to download.

3. What methods are there for solving Quadratic Equations?

A quadratic equation can be solved to get two x values or the equation's two roots. The roots of the quadratic equation can be found using one of four methods. The four approaches to solving Quadratic Equations are listed below.

Quadratic Equation Factorization
Finding Roots Using a Formula
Completing the Square in a Novel Way
Finding the Roots Using Graphing

Vedantu’s RS Aggarwal Solutions explain all these methods perfectly through the step by step answers to all the questions.

4. What are some helpful hints for solving Quadratic Equations?

Some of the Quadratic Equations tips and tricks listed below can help you solve Quadratic Equations more quickly.

Factorization is commonly used to solve Quadratic Equations. When factorization fails to solve the problem, the formula is applied.
The roots of a quadratic equation are also known as the equation's zeroes.
Complex numbers are used to represent the roots of Quadratic Equations with negative discriminant values.
Higher algebraic expressions involving these roots can be found by adding and multiplying the roots of a quadratic equation.

5. What are some examples of Quadratic Equations in the real world?

The zeroes of the parabola and its axis of symmetry are found using Quadratic Equations. Quadratic Equations have a wide range of real-world applications. It can be used in running time problems to determine the speed, distance, or time spent travelling by car, train, or plane, for example. The relationship between quantity and price of a commodity is described by Quadratic Equations. In the same way, demand and cost calculations are quadratic equation problems. A satellite dish or a reflecting telescope, for example, has a shape that is defined by a quadratic equation.