Solution of Quadratic Equations by Factorisation Method | Word problems |Factoring quadratic equations
In this video, you will study quadratic equations, and various ways of finding their roots.A quadratic equations can be solved by any one the given methods (i)Method of completing the square (ii)Factoring quadratic equation (iii) Quadratic Formula.
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.
Procedure 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
Word Problems on Quadratic Equations
00:02 Word problems on Quadratic Equation (Problems based on Numbers)
Q2 Solve the Word problems factoring Quadratics
(i) 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.
00:04From step:1 00:29 From step:2 02:05 From step:3 03:10 From step:4
solving Quadratic Equations by Factorisation
05:35 Quadratic Equation Word problems(Problems based on Numbers)
(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.
05:40 From step:1 06:08 From step:2 07:10 From step:3 07:48 From step:4
09:46 Quadratic Equation Word problems(Problems based on Digits)
Q3. Find two numbers whose sum is 27 and product is 182.
09:50 From step:1 09:55 From step:2 10:38 From step:3 10:51 From step:4
12:40 Word problems on Quadratic Equation (Problems based on Digits)
Q4. Find two consecutive positive integers, sum of whose squares is 365.
12:42 From step:1 12:57 From step:2 13:20 From step:3 14:48 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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