Class 10 Exam > Class 10 Questions > If the sum of the zeroes of the quadratic pol...
Start Learning for Free
If the sum of the zeroes of the quadratic polynomial kx2 + 4x + 3k is equal to their product, then
the value of k is?
the value of k is?
Most Upvoted Answer
If the sum of the zeroes of the quadratic polynomial kx2 + 4x + 3k is ...
Sum and Product of Zeroes of a Quadratic Polynomial
To find the sum and product of the zeroes of a quadratic polynomial \(ax^2 + bx + c\), we can use the following formulas:
- Sum of zeroes: \(-\frac{b}{a}\)
- Product of zeroes: \(\frac{c}{a}\)
Given Quadratic Polynomial
Let's apply this concept to the given quadratic polynomial \(kx^2 + 4x + 3k\).
According to the given condition, the sum of the zeroes is equal to their product.
So, we have:
\(-\frac{4}{k} = \frac{3k}{k}\)
Solving for k
By simplifying the above equation, we get:
\(-\frac{4}{k} = 3\)
Cross multiplying, we get:
\(3k = -4\)
Dividing by 3, we find the value of k:
\(k = -\frac{4}{3}\)
Therefore, the value of k is -4/3 for the given quadratic polynomial to satisfy the condition that the sum of the zeroes is equal to their product.
To find the sum and product of the zeroes of a quadratic polynomial \(ax^2 + bx + c\), we can use the following formulas:
- Sum of zeroes: \(-\frac{b}{a}\)
- Product of zeroes: \(\frac{c}{a}\)
Given Quadratic Polynomial
Let's apply this concept to the given quadratic polynomial \(kx^2 + 4x + 3k\).
According to the given condition, the sum of the zeroes is equal to their product.
So, we have:
\(-\frac{4}{k} = \frac{3k}{k}\)
Solving for k
By simplifying the above equation, we get:
\(-\frac{4}{k} = 3\)
Cross multiplying, we get:
\(3k = -4\)
Dividing by 3, we find the value of k:
\(k = -\frac{4}{3}\)
Therefore, the value of k is -4/3 for the given quadratic polynomial to satisfy the condition that the sum of the zeroes is equal to their product.
Community Answer
If the sum of the zeroes of the quadratic polynomial kx2 + 4x + 3k is ...
X2+4x+3k ke shunya -3 ho to k ka man gyat karo
|
Explore Courses for Class 10 exam
|
|
Similar Class 10 Doubts
Top Courses for Class 10View all
Question Description
If the sum of the zeroes of the quadratic polynomial kx2 + 4x + 3k is equal to their product, then the value of k is? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about If the sum of the zeroes of the quadratic polynomial kx2 + 4x + 3k is equal to their product, then the value of k is? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the sum of the zeroes of the quadratic polynomial kx2 + 4x + 3k is equal to their product, then the value of k is?.
If the sum of the zeroes of the quadratic polynomial kx2 + 4x + 3k is equal to their product, then the value of k is? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about If the sum of the zeroes of the quadratic polynomial kx2 + 4x + 3k is equal to their product, then the value of k is? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the sum of the zeroes of the quadratic polynomial kx2 + 4x + 3k is equal to their product, then the value of k is?.
Solutions for If the sum of the zeroes of the quadratic polynomial kx2 + 4x + 3k is equal to their product, then the value of k is? 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 If the sum of the zeroes of the quadratic polynomial kx2 + 4x + 3k is equal to their product, then the value of k is? defined & explained in the simplest way possible. Besides giving the explanation of
If the sum of the zeroes of the quadratic polynomial kx2 + 4x + 3k is equal to their product, then the value of k is?, a detailed solution for If the sum of the zeroes of the quadratic polynomial kx2 + 4x + 3k is equal to their product, then the value of k is? has been provided alongside types of If the sum of the zeroes of the quadratic polynomial kx2 + 4x + 3k is equal to their product, then the value of k is? theory, EduRev gives you an
ample number of questions to practice If the sum of the zeroes of the quadratic polynomial kx2 + 4x + 3k is equal to their product, then the value of k is? tests, examples and also practice Class 10 tests.
|
|
Explore Courses for Class 10 exam
|
|
Signup to solve all Doubts
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