Class 10 Exam > Class 10 Questions > 6. If α and β are the zeroes of a quadratic p...
Start Learning for Free
6. If α and β are the zeroes of a quadratic polynomial x^2 x – 2 then find the value of (1/alpha +1/beta)?
Most Upvoted Answer
6. If α and β are the zeroes of a quadratic polynomial x^2 x – 2 then ...
Given:
The quadratic polynomial is x^2 + x - 2.
Let α and β be the zeroes of the polynomial.
To Find:
The value of (1/α) + (1/β).
Solution:
The sum of the zeroes of a quadratic polynomial is given by the formula:
α + β = -b/a
The product of the zeroes of a quadratic polynomial is given by the formula:
α * β = c/a
In this case, the quadratic polynomial is x^2 + x - 2, so the values of a, b, and c are:
a = 1, b = 1, c = -2
Using the formulas above, we can calculate the values of α + β and α * β:
α + β = -1/1 = -1
α * β = -2/1 = -2
Now, let's find the value of (1/α) + (1/β):
(1/α) + (1/β) = (α + β)/(α * β)
Substituting the values we found earlier:
(1/α) + (1/β) = (-1)/(-2) = 1/2
Therefore, the value of (1/α) + (1/β) is 1/2.
The quadratic polynomial is x^2 + x - 2.
Let α and β be the zeroes of the polynomial.
To Find:
The value of (1/α) + (1/β).
Solution:
The sum of the zeroes of a quadratic polynomial is given by the formula:
α + β = -b/a
The product of the zeroes of a quadratic polynomial is given by the formula:
α * β = c/a
In this case, the quadratic polynomial is x^2 + x - 2, so the values of a, b, and c are:
a = 1, b = 1, c = -2
Using the formulas above, we can calculate the values of α + β and α * β:
α + β = -1/1 = -1
α * β = -2/1 = -2
Now, let's find the value of (1/α) + (1/β):
(1/α) + (1/β) = (α + β)/(α * β)
Substituting the values we found earlier:
(1/α) + (1/β) = (-1)/(-2) = 1/2
Therefore, the value of (1/α) + (1/β) is 1/2.
Community Answer
6. If α and β are the zeroes of a quadratic polynomial x^2 x – 2 then ...
X² ke baad kya h ...
Attention Class 10 Students!
To make sure you are not studying endlessly, EduRev has designed Class 10 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 10.
|
Explore Courses for Class 10 exam
|
|
Top Courses for Class 10View all
6. If α and β are the zeroes of a quadratic polynomial x^2 x – 2 then find the value of (1/alpha +1/beta)?
Question Description
6. If α and β are the zeroes of a quadratic polynomial x^2 x – 2 then find the value of (1/alpha +1/beta)? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about 6. If α and β are the zeroes of a quadratic polynomial x^2 x – 2 then find the value of (1/alpha +1/beta)? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 6. If α and β are the zeroes of a quadratic polynomial x^2 x – 2 then find the value of (1/alpha +1/beta)?.
6. If α and β are the zeroes of a quadratic polynomial x^2 x – 2 then find the value of (1/alpha +1/beta)? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about 6. If α and β are the zeroes of a quadratic polynomial x^2 x – 2 then find the value of (1/alpha +1/beta)? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 6. If α and β are the zeroes of a quadratic polynomial x^2 x – 2 then find the value of (1/alpha +1/beta)?.
Solutions for 6. If α and β are the zeroes of a quadratic polynomial x^2 x – 2 then find the value of (1/alpha +1/beta)? in English & in Hindi are available as part of our courses for Class 10.
Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of 6. If α and β are the zeroes of a quadratic polynomial x^2 x – 2 then find the value of (1/alpha +1/beta)? defined & explained in the simplest way possible. Besides giving the explanation of
6. If α and β are the zeroes of a quadratic polynomial x^2 x – 2 then find the value of (1/alpha +1/beta)?, a detailed solution for 6. If α and β are the zeroes of a quadratic polynomial x^2 x – 2 then find the value of (1/alpha +1/beta)? has been provided alongside types of 6. If α and β are the zeroes of a quadratic polynomial x^2 x – 2 then find the value of (1/alpha +1/beta)? theory, EduRev gives you an
ample number of questions to practice 6. If α and β are the zeroes of a quadratic polynomial x^2 x – 2 then find the value of (1/alpha +1/beta)? tests, examples and also practice Class 10 tests.
|
|
Explore Courses for Class 10 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
|
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