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If α and β are the roots of the equation x2 + 5x + 3 = 0, then (α + 3/α + 3)3 + (β + 3/β + 1)3 = ?
- a)72
- b)64
- c)-64
- d)-72
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
If αand βare the roots of the equation x2 + 5x + 3 = 0, the...
α is the root of the equation x2 + 5x + 3 = 0
=> α2 + 5α + 3 = 0
=> α + 5 + 3 / β = 0
=> α + 3 + 3 / β = -2
β is the root of the equation x2 + 5x + 3 = 0
=> β2 + 5β + 3 = 0
=> β + 5 + 3 / β = 0
=> β + 1 + 3 / β = −4
So (α + 3 + 3/β)3 + (β + 3/β + 1)3
= (-2)3 + (-4)3 = -72
=> α2 + 5α + 3 = 0
=> α + 5 + 3 / β = 0
=> α + 3 + 3 / β = -2
β is the root of the equation x2 + 5x + 3 = 0
=> β2 + 5β + 3 = 0
=> β + 5 + 3 / β = 0
=> β + 1 + 3 / β = −4
So (α + 3 + 3/β)3 + (β + 3/β + 1)3
= (-2)3 + (-4)3 = -72
Most Upvoted Answer
If αand βare the roots of the equation x2 + 5x + 3 = 0, the...
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If αand βare the roots of the equation x2 + 5x + 3 = 0, then (α+ 3/α+ 3)3 + (β+ 3/β+ 1)3 = ?a) 72b) 64c) -64d) -72Correct answer is option 'D'. Can you explain this answer?
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If αand βare the roots of the equation x2 + 5x + 3 = 0, then (α+ 3/α+ 3)3 + (β+ 3/β+ 1)3 = ?a) 72b) 64c) -64d) -72Correct answer is option 'D'. 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 If αand βare the roots of the equation x2 + 5x + 3 = 0, then (α+ 3/α+ 3)3 + (β+ 3/β+ 1)3 = ?a) 72b) 64c) -64d) -72Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If αand βare the roots of the equation x2 + 5x + 3 = 0, then (α+ 3/α+ 3)3 + (β+ 3/β+ 1)3 = ?a) 72b) 64c) -64d) -72Correct answer is option 'D'. Can you explain this answer?.
If αand βare the roots of the equation x2 + 5x + 3 = 0, then (α+ 3/α+ 3)3 + (β+ 3/β+ 1)3 = ?a) 72b) 64c) -64d) -72Correct answer is option 'D'. 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 If αand βare the roots of the equation x2 + 5x + 3 = 0, then (α+ 3/α+ 3)3 + (β+ 3/β+ 1)3 = ?a) 72b) 64c) -64d) -72Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If αand βare the roots of the equation x2 + 5x + 3 = 0, then (α+ 3/α+ 3)3 + (β+ 3/β+ 1)3 = ?a) 72b) 64c) -64d) -72Correct answer is option 'D'. Can you explain this answer?.
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If αand βare the roots of the equation x2 + 5x + 3 = 0, then (α+ 3/α+ 3)3 + (β+ 3/β+ 1)3 = ?a) 72b) 64c) -64d) -72Correct answer is option 'D'. Can you explain this answer?, a detailed solution for If αand βare the roots of the equation x2 + 5x + 3 = 0, then (α+ 3/α+ 3)3 + (β+ 3/β+ 1)3 = ?a) 72b) 64c) -64d) -72Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of If αand βare the roots of the equation x2 + 5x + 3 = 0, then (α+ 3/α+ 3)3 + (β+ 3/β+ 1)3 = ?a) 72b) 64c) -64d) -72Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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