Class 10 Exam > Class 10 Videos > Crash Course: Class 10 > Solution of a Quadratic Equation - By Factorisation
Solution of a Quadratic Equation - By Factorisation Video Lecture | Crash Course: Class 10
|
210 videos
|
FAQs on Solution of a Quadratic Equation - By Factorisation Video Lecture - Crash Course: Class 10
| 1. How do you solve a quadratic equation by factorization? |  |
Ans. To solve a quadratic equation by factorization, you need to follow these steps:
1. Set the equation equal to zero and rearrange it in the form ax^2 + bx + c = 0.
2. Factorize the quadratic expression on the left side of the equation.
3. Set each factor equal to zero and solve for x.
4. The solutions obtained will be the values of x that satisfy the quadratic equation.
| 2. Can all quadratic equations be solved by factorization? | |
Ans. No, not all quadratic equations can be solved by factorization. Some quadratic equations may have complex or irrational roots, which cannot be obtained by factorization. In such cases, other methods like using the quadratic formula or completing the square are needed to find the solutions.
| 3. Are there any limitations or restrictions when solving a quadratic equation by factorization? | |
Ans. Yes, there are certain limitations or restrictions when solving a quadratic equation by factorization. The quadratic equation must be factorable, meaning it should have two distinct factors that can be multiplied to form the quadratic expression. If the quadratic equation cannot be factored, then factorization method cannot be used to solve it.
| 4. What is the advantage of solving a quadratic equation by factorization over other methods? | |
Ans. Solving a quadratic equation by factorization can be advantageous in certain cases. One advantage is that it can provide the exact solutions in the form of rational numbers, which can be easier to work with compared to decimal approximations obtained through other methods. Additionally, factorization can sometimes lead to a quicker and more straightforward solution process when the quadratic equation is easily factorable.
| 5. Can you explain with an example how to solve a quadratic equation by factorization? | |
Ans. Sure! Let's solve the quadratic equation x^2 - 5x + 6 = 0 by factorization:
1. Rearrange the equation: x^2 - 5x + 6 = 0.
2. Factorize the quadratic expression: (x - 2)(x - 3) = 0.
3. Set each factor equal to zero: x - 2 = 0 and x - 3 = 0.
4. Solve for x: x = 2 and x = 3.
Therefore, the solutions to the quadratic equation are x = 2 and x = 3.
About this Video
|
4.85/5 Rating |
|
Dec 26, 2024 Last updated |
Video Description: Solution of a Quadratic Equation - By Factorisation for Class 10 2024 is part of Crash Course: Class 10 preparation.
The notes and questions for Solution of a Quadratic Equation - By Factorisation have been prepared according to the Class 10 exam syllabus.
Information about Solution of a Quadratic Equation - By Factorisation covers all important topics for Class 10 2024 Exam.
Find important definitions, questions, notes, meanings, examples, exercises and tests below for Solution of a Quadratic Equation - By Factorisation.
Introduction of Solution of a Quadratic Equation - By Factorisation in English is available as part of our Crash Course: Class 10 for Class 10 & Solution of a Quadratic Equation - By Factorisation in
Hindi for Crash Course: Class 10 course. Download more important topics related with notes, lectures and mock test series for
Class 10 Exam by signing up for free.
Description
Video Lecture & Questions for Solution of a Quadratic Equation - By Factorisation Video Lecture | Crash Course: Class 10 - Class 10 full syllabus preparation | Free video for Class 10 exam to prepare for Crash Course: Class 10.
Information about Solution of a Quadratic Equation - By Factorisation
Here you can find the meaning of Solution of a Quadratic Equation - By Factorisation defined & explained in the simplest way possible.
Besides explaining types of Solution of a Quadratic Equation - By Factorisation theory, EduRev gives you an ample number of questions to practice Solution of a Quadratic Equation - By Factorisation tests,
examples and also practice Class 10 tests.
|
210 videos
|
|
Explore Courses for Class 10 exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
Related Searches
Semester Notes
,MCQs
,past year papers
,Important questions
,Viva Questions
,Solution of a Quadratic Equation - By Factorisation Video Lecture | Crash Course: Class 10
,Free
,study material
,mock tests for examination
,Objective type Questions
,shortcuts and tricks
,Extra Questions
,Solution of a Quadratic Equation - By Factorisation Video Lecture | Crash Course: Class 10
,Summary
,Sample Paper
,Exam
,Previous Year Questions with Solutions
,practice quizzes
,Solution of a Quadratic Equation - By Factorisation Video Lecture | Crash Course: Class 10
,ppt
,video lectures
;
Study Solution of a Quadratic Equation - By Factorisation on the App
Students of Class 10 can study Solution of a Quadratic Equation - By Factorisation alongwith tests & analysis from the EduRev app,
which will help them while preparing for their exam. Apart from the Solution of a Quadratic Equation - By Factorisation,
students can also utilize the EduRev App for other study materials such as previous year question papers, syllabus, important questions, etc.
The EduRev App will make your learning easier as you can access it from anywhere you want.
The content of Solution of a Quadratic Equation - By Factorisation is prepared as per the latest Class 10 syllabus.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up
within 7 days!
within 7 days!
Takes less than 10 seconds to signup