GMAT Exam > GMAT Videos > Quantitative for GMAT > Quadratic equation problems based on properties of roots
Quadratic equation problems based on properties of roots Video Lecture | Quantitative for GMAT
|
108 videos|103 docs|114 tests
|
FAQs on Quadratic equation problems based on properties of roots Video Lecture - Quantitative for GMAT
| 1. What are the properties of roots in a quadratic equation? |  |
Ans. The properties of roots in a quadratic equation are:
- The sum of the roots is equal to the negation of the coefficient of the linear term divided by the coefficient of the quadratic term.
- The product of the roots is equal to the constant term divided by the coefficient of the quadratic term.
- The roots can be real or complex depending on the discriminant of the equation.
| 2. How can I determine the sum of the roots of a quadratic equation? | |
Ans. To determine the sum of the roots of a quadratic equation, you can use the formula:
Sum of roots = -b/a, where 'a' and 'b' are the coefficients of the quadratic equation in the form ax^2 + bx + c = 0.
| 3. How can I find the product of the roots of a quadratic equation? | |
Ans. To find the product of the roots of a quadratic equation, you can use the formula:
Product of roots = c/a, where 'a' and 'c' are the coefficients of the quadratic equation in the form ax^2 + bx + c = 0.
| 4. What does the discriminant of a quadratic equation represent? | |
Ans. The discriminant of a quadratic equation, denoted by Δ, is a value that determines the nature of the roots. It is calculated using the formula:
Δ = b^2 - 4ac, where 'a', 'b', and 'c' are the coefficients of the quadratic equation in the form ax^2 + bx + c = 0.
If Δ > 0, the equation has two distinct real roots.
If Δ = 0, the equation has two identical real roots.
If Δ < 0, the equation has two complex roots.
| 5. How can I determine if the roots of a quadratic equation are real or complex? | |
Ans. To determine if the roots of a quadratic equation are real or complex, you can check the discriminant (Δ) of the equation.
- If Δ > 0, the roots are real and distinct.
- If Δ = 0, the roots are real and identical.
- If Δ < 0, the roots are complex conjugates of each other.
About this Video
|
4.67/5 Rating |
|
Nov 24, 2024 Last updated |
Video Description: Quadratic equation problems based on properties of roots for GMAT 2024 is part of Quantitative for GMAT preparation.
The notes and questions for Quadratic equation problems based on properties of roots have been prepared according to the GMAT exam syllabus.
Information about Quadratic equation problems based on properties of roots covers all important topics for GMAT 2024 Exam.
Find important definitions, questions, notes, meanings, examples, exercises and tests below for Quadratic equation problems based on properties of roots.
Introduction of Quadratic equation problems based on properties of roots in English is available as part of our Quantitative for GMAT for GMAT & Quadratic equation problems based on properties of roots in
Hindi for Quantitative for GMAT course. Download more important topics related with notes, lectures and mock test series for
GMAT Exam by signing up for free.
Description
Video Lecture & Questions for Quadratic equation problems based on properties of roots Video Lecture | Quantitative for GMAT - GMAT full syllabus preparation | Free video for GMAT exam to prepare for Quantitative for GMAT.
Information about Quadratic equation problems based on properties of roots
Here you can find the meaning of Quadratic equation problems based on properties of roots defined & explained in the simplest way possible.
Besides explaining types of Quadratic equation problems based on properties of roots theory, EduRev gives you an ample number of questions to practice Quadratic equation problems based on properties of roots tests,
examples and also practice GMAT tests.
|
108 videos|103 docs|114 tests
|
|
Explore Courses for GMAT exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
Related Searches
Summary
,MCQs
,mock tests for examination
,ppt
,Sample Paper
,Semester Notes
,video lectures
,shortcuts and tricks
,Exam
,Objective type Questions
,Extra Questions
,Quadratic equation problems based on properties of roots Video Lecture | Quantitative for GMAT
,Previous Year Questions with Solutions
,study material
,Viva Questions
,past year papers
,Free
,Quadratic equation problems based on properties of roots Video Lecture | Quantitative for GMAT
,Quadratic equation problems based on properties of roots Video Lecture | Quantitative for GMAT
,Important questions
,practice quizzes
;
Study Quadratic equation problems based on properties of roots on the App
Students of GMAT can study Quadratic equation problems based on properties of roots alongwith tests & analysis from the EduRev app,
which will help them while preparing for their exam. Apart from the Quadratic equation problems based on properties of roots,
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 Quadratic equation problems based on properties of roots is prepared as per the latest GMAT syllabus.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup