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Suppose k it is any integer such that the equation 2x2 + kx + 5 = 0 has no real roots and the equation x2 + (k − 5)x + 1 = 0 has two distinct real roots for x. Then, the number of possible values of k is
- a)9
- b)13
- c)8
- d)7
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
Suppose k it is any integer such that the equation 2x2 + kx + 5 = 0 ha...
If the equation 2x^2 + kx + 5 = 0 has no real roots, then the discriminant must be negative.
The discriminant is given by b^2 - 4ac, where a = 2, b = k, and c = 5.
So, we have k^2 - 4(2)(5) < />
Simplifying, we get k^2 - 40 < />
Adding 40 to both sides, we have k^2 < />
Taking the square root of both sides (remembering that k is an integer), we get -√40 < k="" />< />
This can be further simplified to -2√10 < k="" />< />
Therefore, the possible values of k are all integers between -2√10 and 2√10, excluding -2√10 and 2√10.
The discriminant is given by b^2 - 4ac, where a = 2, b = k, and c = 5.
So, we have k^2 - 4(2)(5) < />
Simplifying, we get k^2 - 40 < />
Adding 40 to both sides, we have k^2 < />
Taking the square root of both sides (remembering that k is an integer), we get -√40 < k="" />< />
This can be further simplified to -2√10 < k="" />< />
Therefore, the possible values of k are all integers between -2√10 and 2√10, excluding -2√10 and 2√10.
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Suppose k it is any integer such that the equation 2x2 + kx + 5 = 0 has no real roots and the equation x2 + (k − 5)x + 1 = 0 has two distinct real roots for x. Then, the number of possible values of k isa)9b)13c)8d)7Correct answer is option 'A'. Can you explain this answer?
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Suppose k it is any integer such that the equation 2x2 + kx + 5 = 0 has no real roots and the equation x2 + (k − 5)x + 1 = 0 has two distinct real roots for x. Then, the number of possible values of k isa)9b)13c)8d)7Correct answer is option 'A'. 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 Suppose k it is any integer such that the equation 2x2 + kx + 5 = 0 has no real roots and the equation x2 + (k − 5)x + 1 = 0 has two distinct real roots for x. Then, the number of possible values of k isa)9b)13c)8d)7Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Suppose k it is any integer such that the equation 2x2 + kx + 5 = 0 has no real roots and the equation x2 + (k − 5)x + 1 = 0 has two distinct real roots for x. Then, the number of possible values of k isa)9b)13c)8d)7Correct answer is option 'A'. Can you explain this answer?.
Suppose k it is any integer such that the equation 2x2 + kx + 5 = 0 has no real roots and the equation x2 + (k − 5)x + 1 = 0 has two distinct real roots for x. Then, the number of possible values of k isa)9b)13c)8d)7Correct answer is option 'A'. 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 Suppose k it is any integer such that the equation 2x2 + kx + 5 = 0 has no real roots and the equation x2 + (k − 5)x + 1 = 0 has two distinct real roots for x. Then, the number of possible values of k isa)9b)13c)8d)7Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Suppose k it is any integer such that the equation 2x2 + kx + 5 = 0 has no real roots and the equation x2 + (k − 5)x + 1 = 0 has two distinct real roots for x. Then, the number of possible values of k isa)9b)13c)8d)7Correct answer is option 'A'. Can you explain this answer?.
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Suppose k it is any integer such that the equation 2x2 + kx + 5 = 0 has no real roots and the equation x2 + (k − 5)x + 1 = 0 has two distinct real roots for x. Then, the number of possible values of k isa)9b)13c)8d)7Correct answer is option 'A'. Can you explain this answer?, a detailed solution for Suppose k it is any integer such that the equation 2x2 + kx + 5 = 0 has no real roots and the equation x2 + (k − 5)x + 1 = 0 has two distinct real roots for x. Then, the number of possible values of k isa)9b)13c)8d)7Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of Suppose k it is any integer such that the equation 2x2 + kx + 5 = 0 has no real roots and the equation x2 + (k − 5)x + 1 = 0 has two distinct real roots for x. Then, the number of possible values of k isa)9b)13c)8d)7Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
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