NCERT Solutions Class 10 Maths Chapter 4 Quadratic Equations on Padhaiwise

NCERT Solutions for Class 10 Maths Chapter 4 Quadratic Equations Exercise 4.1

Mon, 01 Jan 0001 00:00:00 +0000

NCERT Solutions for Class 10 Maths Chapter 4 Quadratic Equations Exercise 4.1#

Welcome to our NCERT Solutions for Class 10 Maths Chapter 4 Quadratic Equations Exercise 4.1. This introductory exercise helps students identify quadratic equations and represent real-life situations in the form of quadratic equations. A thorough understanding of this exercise forms the foundation for all subsequent methods of solving quadratic equations.

Quadratic Equation: An equation of the form $ax^2 + bx + c = 0$, where $a \neq 0$ and $a$, $b$, $c$ are real numbers, is called a quadratic equation. The degree of the equation must be exactly 2. If the degree is 1 or 0, it is not quadratic.

NCERT Solutions for Class 10 Maths Chapter 4 Quadratic Equations Exercise 4.2

Mon, 01 Jan 0001 00:00:00 +0000

NCERT Solutions for Class 10 Maths Chapter 4 Quadratic Equations Exercise 4.2#

Welcome to our NCERT Solutions for Class 10 Maths Chapter 4 Quadratic Equations Exercise 4.2. This exercise teaches students to solve quadratic equations by the factorisation method. Factorisation involves splitting the middle term and expressing the quadratic as a product of two linear factors, then solving each factor independently.

Factorisation Method: To solve $ax^2 + bx + c = 0$, find two numbers whose sum is $b$ and product is $ac$. Split the middle term, group the terms, factorise, and solve each factor = 0.

NCERT Solutions for Class 10 Maths Chapter 4 Quadratic Equations Exercise 4.3

Mon, 01 Jan 0001 00:00:00 +0000

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

Exercise 4.3 covers the nature of roots of a quadratic equation using the discriminant, and word problems that lead to quadratic equations.

Discriminant $D = b^2 - 4ac$ for $ax^2 + bx + c = 0$:

$D > 0$: Two distinct real roots
$D = 0$: Two equal real roots
$D < 0$: No real roots (roots are imaginary)

1. Find the nature of the roots of the following quadratic equations. If the real roots exist, find them: #

(i) $2x^2 - 3x + 5 = 0$

Here $a = 2,\ b = -3,\ c = 5$.