Factoring quadratic equations examples | how to do quadratic equations by factoring

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Factorisation of quadratic equation ax^2 + bx + c = 0, can be done by finding two numbers such that their product is the product of first and last terms and also their sum is the middle term.This is illustrated in the following quadratic equations and word problems bassed on quadratic equations.

Standard form of quadratic equation

First combine all the like terms in the quadratic equation.

Secondly, degree of each term must drop from left to right starting from 2.

00:02 Q1 Find the roots of the following quadratic equations by factorisation:

(i) x^2– 3 x – 10 = 0 (ii) 2x^2+ x – 6 = 0 (iii)sqrt(2)x^2+7x+5sqrt(2) (iv) 2x^2– x+1/8 = 0 (v) 100 x^2 – 20 x + 1 = 0

00:03 Q1(iii)

00:13 Procedure for factorizing Quadratic Equations

00:27 Splitting middle term (Factorisation)

01:57 (v)

02:10 Process of Factorisation

find two numbers so that their product is the product of first and last terms and also their sum is the middle term.

04:03 (iv) Method of factorization of Quadratic Equations.

06:12 CBSE Class 10 maths NCERT Solutions chapter 10 Quadratic Equations Q2 Word problems on Quadratic Equation (Problems on Numbers)

Q2 (i) The area of a rectangular plot is 528 m^2 The length of the plot (in metres) is one more than twice its breadth. We need to find the length and breadth of the plot.

06:20 (i)

Steps to solve Word Problems:

Step 1:Read the problem carefully to know what is given and what to find out.

Step 2:Denote the unknown by a small letter like z, p etc.

Step 3:From the given condition, frame the quadratic equation Involving the unknown.

Step 4:Solve the equation by Quadratic formula.

06:23 From step:1 06:40 From step:2 08:10 From step:3 08:35 From step:4

Solve the Quadratic equation by factorization.

11:49 (ii) Word Problems on Quadratic Equations (Problems based on numbers)

CBSE Class 10 maths NCERT Solutions chapter 10 Quadratic Equations Q2 (ii) The product of two consecutive positive integers is 306. We need to find the integers.

11:52 From step:1 12:20 From step:2 13:28 From step:3 14:00 From step:4

Solving qiadratics by factoring

16:00 Q3 Find two numbers whose sum is 27 and product is 182.

16:02 From step:1 16:10 From step:2 16:43 From step:3 17:05 From step:4

17:30 FACTORING QUADRATIC EQUATION.

Reference book for the above video is

National Council of Educational Research and Training (NCERT) Book for Class 10 Subject: Maths

This Video is also refers as CBSE Class 10 mathts NCERT Solutions Chapter 9 Quadratic Equations

This video is suited for CBSE Class 10 maths Quadratic Equations.

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