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If one rot of 5x2+13x+p=0 be reciprocal of the other then the value of p is
- a)-5
- b)5
- c)1/5
- d)-1/5
Correct answer is option 'B'. Can you explain this answer?
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If one rot of 5x2+13x+p=0 be reciprocal of the other then the value of...
Given equation: 5x^2 + 13x + p = 0
To find: The value of p when one root is the reciprocal of the other
Solution:
Let the roots of the equation be α and β. Then, we know that:
αβ = p/5 ----(1)
α + β = -13/5 ----(2)
Also, given that one root is the reciprocal of the other. Let's assume that α is the reciprocal of β. Then,
αβ = 1 ----(3)
From equations (1) and (3), we get:
p/5 = 1
p = 5
Therefore, the value of p is 5, which is option (B).
Note: We could also assume that β is the reciprocal of α and follow the same steps to arrive at the same answer.
To find: The value of p when one root is the reciprocal of the other
Solution:
Let the roots of the equation be α and β. Then, we know that:
αβ = p/5 ----(1)
α + β = -13/5 ----(2)
Also, given that one root is the reciprocal of the other. Let's assume that α is the reciprocal of β. Then,
αβ = 1 ----(3)
From equations (1) and (3), we get:
p/5 = 1
p = 5
Therefore, the value of p is 5, which is option (B).
Note: We could also assume that β is the reciprocal of α and follow the same steps to arrive at the same answer.
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If one rot of 5x2+13x+p=0 be reciprocal of the other then the value of p isa)-5b)5c)1/5d)-1/5Correct answer is option 'B'. Can you explain this answer?
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If one rot of 5x2+13x+p=0 be reciprocal of the other then the value of p isa)-5b)5c)1/5d)-1/5Correct answer is option 'B'. Can you explain this answer? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If one rot of 5x2+13x+p=0 be reciprocal of the other then the value of p isa)-5b)5c)1/5d)-1/5Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If one rot of 5x2+13x+p=0 be reciprocal of the other then the value of p isa)-5b)5c)1/5d)-1/5Correct answer is option 'B'. Can you explain this answer?.
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