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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 va...
Given equation: 5x² + 13x + p = 0
Reciprocal of a number: The reciprocal of a number is the number obtained by interchanging the numerator and the denominator of a fraction.
Let one root be 'a', then the other root will be its reciprocal i.e. 1/a.
Sum of roots of a quadratic equation = -b/a
Product of roots of a quadratic equation = c/a
Using these formulas, we can find the sum and product of the roots of the given equation.
Sum of roots: a + 1/a = -b/a
Product of roots: a * 1/a = p/5
Simplifying the product of roots equation, we get:
a * 1/a = 1
p/5 = 1
p = 5
Therefore, the value of p is 5.
Hence, option B is the correct answer.
Reciprocal of a number: The reciprocal of a number is the number obtained by interchanging the numerator and the denominator of a fraction.
Let one root be 'a', then the other root will be its reciprocal i.e. 1/a.
Sum of roots of a quadratic equation = -b/a
Product of roots of a quadratic equation = c/a
Using these formulas, we can find the sum and product of the roots of the given equation.
Sum of roots: a + 1/a = -b/a
Product of roots: a * 1/a = p/5
Simplifying the product of roots equation, we get:
a * 1/a = 1
p/5 = 1
p = 5
Therefore, the value of p is 5.
Hence, option B is the correct 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?.
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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