CA Foundation Exam > CA Foundation Questions > If the roots of equation x^2 × r=0 are alpha ...
Start Learning for Free
If the roots of equation x^2 × r=0 are alpha and beeta and alpha cube beeta cube =-6 find the value of r?
Most Upvoted Answer
If the roots of equation x^2 × r=0 are alpha and beeta and alpha cube ...
Problem: Find the value of r if the roots of the equation x^2 × r=0 are alpha and beta, and alpha cube beta cube = -6.
Solution:
Step 1: Understanding the given equation and the roots
Step 2: Expressing the roots in terms of their sum and product
Step 3: Using the given information to find the value of r
Conclusion: There is no value of r that satisfies the given equation x^2 × r = 0 and the information alpha cube beta cube = -6.
Solution:
Step 1: Understanding the given equation and the roots
- The given equation is x^2 × r = 0.
- This equation has two roots, alpha and beta.
Step 2: Expressing the roots in terms of their sum and product
- The sum of the roots is given by the formula alpha + beta = -b/a, where a and b are the coefficients of the quadratic equation ax^2 + bx + c = 0.
- In this case, a = r and b = 0, so the sum of the roots is alpha + beta = 0.
- The product of the roots is given by the formula alpha × beta = c/a.
- In this case, a = r and c = 0, so the product of the roots is alpha × beta = 0.
Step 3: Using the given information to find the value of r
- The given information is alpha cube beta cube = -6.
- We can express alpha cube beta cube in terms of the sum and product of the roots as follows:
- alpha cube beta cube = (alpha × beta)^3 = (c/a)^3 = 0^3 = 0.
- Therefore, we have 0 = -6, which is not possible.
- Hence, there is no value of r that satisfies the given equation and information.
Conclusion: There is no value of r that satisfies the given equation x^2 × r = 0 and the information alpha cube beta cube = -6.
Attention CA Foundation Students!
To make sure you are not studying endlessly, EduRev has designed CA Foundation study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CA Foundation.
|
Explore Courses for CA Foundation exam
|
|
Similar CA Foundation Doubts
Top Courses for CA FoundationView all
If the roots of equation x^2 × r=0 are alpha and beeta and alpha cube beeta cube =-6 find the value of r?
Question Description
If the roots of equation x^2 × r=0 are alpha and beeta and alpha cube beeta cube =-6 find the value of r? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If the roots of equation x^2 × r=0 are alpha and beeta and alpha cube beeta cube =-6 find the value of r? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the roots of equation x^2 × r=0 are alpha and beeta and alpha cube beeta cube =-6 find the value of r?.
If the roots of equation x^2 × r=0 are alpha and beeta and alpha cube beeta cube =-6 find the value of r? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If the roots of equation x^2 × r=0 are alpha and beeta and alpha cube beeta cube =-6 find the value of r? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the roots of equation x^2 × r=0 are alpha and beeta and alpha cube beeta cube =-6 find the value of r?.
Solutions for If the roots of equation x^2 × r=0 are alpha and beeta and alpha cube beeta cube =-6 find the value of r? in English & in Hindi are available as part of our courses for CA Foundation.
Download more important topics, notes, lectures and mock test series for CA Foundation Exam by signing up for free.
Here you can find the meaning of If the roots of equation x^2 × r=0 are alpha and beeta and alpha cube beeta cube =-6 find the value of r? defined & explained in the simplest way possible. Besides giving the explanation of
If the roots of equation x^2 × r=0 are alpha and beeta and alpha cube beeta cube =-6 find the value of r?, a detailed solution for If the roots of equation x^2 × r=0 are alpha and beeta and alpha cube beeta cube =-6 find the value of r? has been provided alongside types of If the roots of equation x^2 × r=0 are alpha and beeta and alpha cube beeta cube =-6 find the value of r? theory, EduRev gives you an
ample number of questions to practice If the roots of equation x^2 × r=0 are alpha and beeta and alpha cube beeta cube =-6 find the value of r? tests, examples and also practice CA Foundation tests.
|
|
Explore Courses for CA Foundation exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup