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# NCERT Solutions for Class 10 Maths Chapter 4 Exercise 4.3 Quadratic Equations - PDF Download

Class 10

NCERT solutions for class 10 maths chapter 4 ex 4.3 Quadratic Equations will assist students in gaining an understanding of the concept of solving quadratic equations by using the quadratic formula to determine the roots of the equation. You need to practice using the formula to figure out how to find the root of the equation ax2+bx+c = 0,

which is x = (-b ±(b2-4ac)) / 2a.

NCERT ex 4.3 class 10 maths chapter 4 solutions will help you to understand the use of quadratic formulas to find the roots of the equation and how it can be used to solve the questions.

Exercise 4.3 consists of five questions that are based on the above discussed concepts. The NCERT solutions for chapter 4 ex 4.3 of class 10 maths can be downloaded in PDF format from eSaral. You can download a free PDF of this solution  for ex 4.3 and practice as much as you can.

## Topics Covered in Exercise 4.3 Class 10 Mathematics Questions

Here are the topics you need to know about covered in the ex 4.3 class 10 maths.

 1 Nature of Roots
1. Nature of Roots - Nature of roots depends on the discriminant of the quadratic equation. The discriminant of the quadratic equation is defined by b2-4ac.

Quadratic Formula -  The roots of a quadratic equation ax2 + bx + c = 0 are given by

x = [-b ± √(b2 - 4ac)] / 2a, provided b2-4ac ≥ 0

b2 – 4ac determines whether the quadratic equation ax2 + bx + c = 0 has real roots or not, b2 – 4ac is called the discriminant of this quadratic equation.

Important Points

Based on the discriminant value, b2+4ac, it can be determined that the quadratic roots of the equation ax2+bx+c = 0 can have three different types.

•  if b2 – 4ac > 0, then the equation has two distinct real roots

•  if b2 – 4ac = 0, then the equation has two equal real roots

•  if b2 – 4ac < 0, then the equation has no real roots

## Tips for Solving Exercise 4.3 Class 10 Chapter 4 Quadratic Equations

To solve the questions of ex 4.3, our mathematics expert team has made available here some easy and useful tips on how to use the quadratic equation formula to determine the roots of the equation. Here are some important tips to use in ex 4.3 class 10 maths.

1. Exercise 4.3 of NCERT solutions class 10 maths chapter 4 helps students figure out the roots of quadratic equations. Students should focus on the concept and the calculations that involve square roots to get through the exercise questions.

2. The quadratic formula is one of the quickest ways to find the roots of quadratic equations. You must practice questions provided in PDF format by our subject experts to get a better understanding of this method.

## Importance of Solving Ex 4.3 Class 10 Maths Chapter 4 Quadratic Equations

NCERT solutions class 10 maths ex 4.3 provides several benefits when solving the questions related to the roots of the equation and its related concepts.

1. By solving NCERT class 10 maths chapter 4 ex 4.3, you will be able to solve all the questions that are based on quadratic equations.
2. The NCERT solutions for class 10 maths ex 4.3 are provided by the subject experts of eSaral.
3. After going through the NCERT solutions for class 10 maths chapter 5 ex 5.1, learners will be able to solve  complex questions on arithmetic progression.
4. NCERT class 10 solutions for ex 4.3 will help the students to perform well in the exams.

#### Frequently Asked Questions

Question 1. What is the simplest way to find the quadratic roots ?

Answer 1. The quadratic formula is one of the simplest ways to determine the roots of quadratic equations.

Question 2. What are the number of questions and what kind of questions are included in NCERT solutions for class 10 maths chapter 4 ex 4.3 ?

Answer 2. Ncert solutions for class 10 maths chapter 4 ex 4.3 includes a total of five questions and The questions are all about how to figure out the roots of a quadratic equation using a quadratic formula.