Factiring quadratic equations | Factorisation of quadratic equation | Word problem

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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.

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.

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 by factoring quadratic equations

Quadratic Equations Word Problems

00:02 CBSE Class 10 maths NCERT Solutions chapter 10 Quadratic Equations Q1. Find the roots of the following quadratic equations by factorisation (iv)

00:11 Covert quadratic equation in standard form

00:32 Factorisation method

02:14 CBSE Class 10 maths NCERT Solutions chapter 10 Quadratic Equations Q2 Represent the following situations in the form of quadratic equations and solve by factorisation:

John and Jivanti together have 45 marbles. Both of them lost 5 marbles each, andthe product of the number of marbles they now have is 124. We would like to find out how many marbles they had to start with.

02:20 From step:1 02:41 From step:2 04:17 From step:3 05:21 From step:4

07:47 CBSE Class 10 maths NCERT Solutions chapter 10 Quadratic Equations (ii) A cottage industry produces a certain number of pottery articles in a day. It was observed on a particular day that the cost of production of each article (in rupees) was 3 more than twice the number of articles produced on that day. If the total cost of production on that day was Rs 90, find the number of articles produced and the cost of each article.

07:51 From step:1 08:20 From step:2 09:23 From step:3 10:00 From step:4

11:58 Q3 Find two numbers whose sum is 27 and product is 182.

12:00 From step:1 12:09 From step:2 12:30 From step:3 13:34 From step:4

14:52 Q4 Find two consecutive positive integers, sum of whose squares is 365.

14:54 From step:1 15:02 From step:2 15:27 From step:3 17:00 From step:4

19:26 CBSE Class 10 maths NCERT Solutions chapter 10 Quadratic Equations Q5 The altitude of a right triangle is 7 cm less than its base. If the hypotenuse is 13 cm, find the other two sides.

19:30 From step:1 19:43 From step:2 20:20 From step:3 21:40 From step:4

23:33 CBSE Class 10 maths NCERT Solutions chapter 10 Quadratic Equations Q6 A cottage industry produces a certain number of pottery articles in a day. It was observed on a particular day that the cost of production of each article (in rupees) was 3 more than twice the number of articles produced on that day. If the total cost of production on that day was Rs 90, find the number of articles produced and the cost of each article.

23:36 From step:1 24:14 From step:2 25:23 From step:3 25:50 From step:4

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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Algebra Quadratic equation

CBSE solutions for Class 10 maths Quadratic Equations

CBSE Class 10 maths chapter 10 Quadratic Equations

CBSE Class 10 maths NCERT Solutions chapter 10 Quadratic Equations

NCERT solutions for CBSE Class 10 maths Quadratic Equations

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