# NCERT Solutions for Class 10 Maths Chapter 4 Quadratic Equations

NCERT Solutions for Class 10 Maths Chapter 4 Quadratic Equations: We have studied in chapter Polynomials that a polynomial of degree two is known as a quadratic polynomial. If we equate the quadratic polynomial to zero then we will get a quadratic equation. That is an equation of the form ax2+bx+c=0 with a not equal to zero is known as quadratic equations. There are many real-life problems where we can form quadratic equations to solve it. The NCERT Solutions for Class 10 Maths Chapter 4 introduces the concepts of quadratic equations and different methods to solve it. There are many real-life problems mentioned in the NCERT Solutions for Class 10 Maths.

For example, Ramu has a rectangular plot. He forgot the length and breadth of the plot. But he remembers that area of the plot is 400 m2 and length is 9m more than the breadth. What should be the length and breadth of the plot? To solve this question let's consider the length to be x then the breadth will be x-9 and area is (x-9)x=400. This is how the question is formulated. NCERT Solutions explains different methods to solve it. Now we will solve the above problem using one of that method. We have formulated the question above as (x-9)x=400.

that is

x2-9x=400 or x2-9x-400=0

That is

x2-25x+16x-400=0

which can be written as

x(x-25)+4(4x-100)=0 or

x(x-25)+16(x-25)=0 or

(x-25)(x+16)=0 or

x-25=0 implies x=25 or x+16=0 implies x=-16. The value -16 is not possible since the length cannot be negative. Therefore. length=25m so breadth=25-9=16m. There are different methods to solve this problem which are mentioned in NCERT Solutions for Class 10 Maths Chapter 4.

## 4.1 Introduction

4.2 Quadratic Equations

4.3 Solution of a Quadratic Equation by Factorisation

4.4 Solution of a Quadratic Equation by Completing the Square

4.5 Nature of Roots

4.6 Summary

It is a must to solve all the questions mentioned in the NCERT textbook. It will help to improve your understanding of the chapter which will finally help in the exams. Below are the NCERT Solutions for Class 10 Maths Chapter 4 Quadratic Equations.

## NCERT Solutions for Class 10 Maths - Chapter-wise

 Chapter No. Chapter Name Chapter 1 Real Numbers Chapter 2 Polynomials Chapter 3 Pair of Linear Equations in Two Variables Chapter 5 Arithmetic Progressions Chapter 6 Triangles Chapter 7 Coordinate Geometry Chapter 8 Introduction to Trigonometry Chapter 9 Some Applications of Trigonometry Chapter 10 Circles Chapter 11 Constructions Chapter 12 Areas Related to Circles Chapter 13 Surface Areas and Volumes Chapter 14 Statistics Chapter 15 Probability

## NCERT Solutions for Class 10 - Subject Wise

 NCERT Solutions for Class 10 Maths NCERT Solutions for Class 10 Science

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