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Let & and β be the two distinct roots of the equation 2x2 - 6x + k = 0, such that (α + β) and αβ are the distinct roots of the equation x2 + px + p = 0. Then, the value of 8(k - p) is
Correct answer is '6'. Can you explain this answer?
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Let & and β be the two distinct roots of the equation 2x2- 6x...
Given Information:
Let α and β be the roots of the equation 2x^2 - 6x + k = 0.
Let (α + β) and αβ be the roots of the equation x^2 + px + p = 0.
Calculating the Value of p:
From the equation 2x^2 - 6x + k = 0, we know that
α + β = 6/2 = 3
αβ = k/2
Now, using the sum and product of roots formula for x^2 + px + p = 0, we have
α + β = -p = 3
αβ = p = k/2
Therefore, p = 3 and k = 6.
Calculating 8(k - p):
Substitute the values of p and k into the expression 8(k - p):
8(6 - 3) = 8(3) = 24
Therefore, the value of 8(k - p) is 24.
Let α and β be the roots of the equation 2x^2 - 6x + k = 0.
Let (α + β) and αβ be the roots of the equation x^2 + px + p = 0.
Calculating the Value of p:
From the equation 2x^2 - 6x + k = 0, we know that
α + β = 6/2 = 3
αβ = k/2
Now, using the sum and product of roots formula for x^2 + px + p = 0, we have
α + β = -p = 3
αβ = p = k/2
Therefore, p = 3 and k = 6.
Calculating 8(k - p):
Substitute the values of p and k into the expression 8(k - p):
8(6 - 3) = 8(3) = 24
Therefore, the value of 8(k - p) is 24.
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Let & and β be the two distinct roots of the equation 2x2- 6x...
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Let & and β be the two distinct roots of the equation 2x2- 6x + k = 0, such that (α + β) and αβ are the distinct roots of the equation x2 + px + p = 0. Then, the value of 8(k - p) isCorrect answer is '6'. Can you explain this answer?
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Let & and β be the two distinct roots of the equation 2x2- 6x + k = 0, such that (α + β) and αβ are the distinct roots of the equation x2 + px + p = 0. Then, the value of 8(k - p) isCorrect answer is '6'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Let & and β be the two distinct roots of the equation 2x2- 6x + k = 0, such that (α + β) and αβ are the distinct roots of the equation x2 + px + p = 0. Then, the value of 8(k - p) isCorrect answer is '6'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let & and β be the two distinct roots of the equation 2x2- 6x + k = 0, such that (α + β) and αβ are the distinct roots of the equation x2 + px + p = 0. Then, the value of 8(k - p) isCorrect answer is '6'. Can you explain this answer?.
Let & and β be the two distinct roots of the equation 2x2- 6x + k = 0, such that (α + β) and αβ are the distinct roots of the equation x2 + px + p = 0. Then, the value of 8(k - p) isCorrect answer is '6'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Let & and β be the two distinct roots of the equation 2x2- 6x + k = 0, such that (α + β) and αβ are the distinct roots of the equation x2 + px + p = 0. Then, the value of 8(k - p) isCorrect answer is '6'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let & and β be the two distinct roots of the equation 2x2- 6x + k = 0, such that (α + β) and αβ are the distinct roots of the equation x2 + px + p = 0. Then, the value of 8(k - p) isCorrect answer is '6'. Can you explain this answer?.
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Let & and β be the two distinct roots of the equation 2x2- 6x + k = 0, such that (α + β) and αβ are the distinct roots of the equation x2 + px + p = 0. Then, the value of 8(k - p) isCorrect answer is '6'. Can you explain this answer?, a detailed solution for Let & and β be the two distinct roots of the equation 2x2- 6x + k = 0, such that (α + β) and αβ are the distinct roots of the equation x2 + px + p = 0. Then, the value of 8(k - p) isCorrect answer is '6'. Can you explain this answer? has been provided alongside types of Let & and β be the two distinct roots of the equation 2x2- 6x + k = 0, such that (α + β) and αβ are the distinct roots of the equation x2 + px + p = 0. Then, the value of 8(k - p) isCorrect answer is '6'. Can you explain this answer? theory, EduRev gives you an
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