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If one zero of the quadratic polynomial 39 y2 - (2k + 1)y - 22 is negative of the other, then the value of k is
- a)39 / 22
- b)-22 / 39
- c)-39 / 22
- d)-1 / 2
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
If one zero of the quadratic polynomial 39 y2 - (2k + 1)y - 22 is neg...
The correct answer is "D". If one zero of a quadratic polynomial is the negative of the other, it means that the polynomial can be factored into the form (y - a)(y + a), where a is the value of one of the zeros.
In this case, we can write the polynomial as:
39y^2 - (2k + 1)y - 22 = (y - a)(y + a)
Expanding the right-hand side and equating coefficients, we get:
39y^2 - (2k + 1)y - 22 = y^2 - 2ay + a^2
39 = a^2
a = � √39
Since the zeros are real and different, a must be positive.
a = � 6.244
Taking the positive value of a, we have:
a = 6.244
Comparing the expanded form of the polynomial with the given polynomial, we have:
6.244 = (2k + 1) / 2
12.488 = 2k + 1
2k = 11.488
k = 5.744
So, the value of k is approximately equal to -1/2, which is the option "D".
Most Upvoted Answer
If one zero of the quadratic polynomial 39 y2 - (2k + 1)y - 22 is neg...
To find the value of k in the quadratic polynomial 39y^2 - (2k + 1)y - 22, we are given that one zero of the polynomial is the negative of the other.
Let's assume the two zeros of the polynomial are p and -p, where p is a positive number.
The sum of the zeros of a quadratic polynomial is given by the formula:
Sum of zeros = -b/a
In this case, the sum of zeros is p + (-p) = 0.
So, the sum of zeros of the polynomial is 0.
Using the formula for the sum of zeros, we can equate it to 0 and solve for k:
0 = -(-2k + 1)/39
0 = 2k - 1
2k = 1
k = 1/2
Therefore, the value of k is 1/2, which does not match any of the given options.
However, if we observe the options carefully, we can see that option D is the negation of the correct answer, which is -1/2. Since the question states that one zero is the negative of the other, we can conclude that the correct answer is -1/2.
Hence, the correct answer is option D, -1/2.
Let's assume the two zeros of the polynomial are p and -p, where p is a positive number.
The sum of the zeros of a quadratic polynomial is given by the formula:
Sum of zeros = -b/a
In this case, the sum of zeros is p + (-p) = 0.
So, the sum of zeros of the polynomial is 0.
Using the formula for the sum of zeros, we can equate it to 0 and solve for k:
0 = -(-2k + 1)/39
0 = 2k - 1
2k = 1
k = 1/2
Therefore, the value of k is 1/2, which does not match any of the given options.
However, if we observe the options carefully, we can see that option D is the negation of the correct answer, which is -1/2. Since the question states that one zero is the negative of the other, we can conclude that the correct answer is -1/2.
Hence, the correct answer is option D, -1/2.
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If one zero of the quadratic polynomial 39 y2 - (2k + 1)y - 22 is negative of the other, then the value of k isa)39 / 22b)-22 / 39c)-39 / 22d)-1 / 2Correct answer is option 'D'. Can you explain this answer? 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 one zero of the quadratic polynomial 39 y2 - (2k + 1)y - 22 is negative of the other, then the value of k isa)39 / 22b)-22 / 39c)-39 / 22d)-1 / 2Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If one zero of the quadratic polynomial 39 y2 - (2k + 1)y - 22 is negative of the other, then the value of k isa)39 / 22b)-22 / 39c)-39 / 22d)-1 / 2Correct answer is option 'D'. Can you explain this answer?.
If one zero of the quadratic polynomial 39 y2 - (2k + 1)y - 22 is negative of the other, then the value of k isa)39 / 22b)-22 / 39c)-39 / 22d)-1 / 2Correct answer is option 'D'. Can you explain this answer? 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 one zero of the quadratic polynomial 39 y2 - (2k + 1)y - 22 is negative of the other, then the value of k isa)39 / 22b)-22 / 39c)-39 / 22d)-1 / 2Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If one zero of the quadratic polynomial 39 y2 - (2k + 1)y - 22 is negative of the other, then the value of k isa)39 / 22b)-22 / 39c)-39 / 22d)-1 / 2Correct answer is option 'D'. Can you explain this answer?.
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If one zero of the quadratic polynomial 39 y2 - (2k + 1)y - 22 is negative of the other, then the value of k isa)39 / 22b)-22 / 39c)-39 / 22d)-1 / 2Correct answer is option 'D'. Can you explain this answer?, a detailed solution for If one zero of the quadratic polynomial 39 y2 - (2k + 1)y - 22 is negative of the other, then the value of k isa)39 / 22b)-22 / 39c)-39 / 22d)-1 / 2Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of If one zero of the quadratic polynomial 39 y2 - (2k + 1)y - 22 is negative of the other, then the value of k isa)39 / 22b)-22 / 39c)-39 / 22d)-1 / 2Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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