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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?
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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.
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If the sum of the zeroes of the quadratic polynomial kx2 + 4x + 3k is equal to their product, then the value of k is?
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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 2024 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 2024 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 2024 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 2024 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?.
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