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If the product of the roots of the equation x2 – 5kx + 2e4 ln k - 1 = 0 is 31, then sum of the root is
- a)-10
- b)5
- c)-8
- d)10
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
If the product of the roots of the equation x2 – 5kx + 2e4 ln k ...
We have product of the roots = 2e4 ln k - 1 = 31 (given)
⇒ k4 = 16 ⇒ k4 - 16 = 0
⇒ (k – 2)(k + 2)(k2 + 4) = 0 ⇒ k = 2, -2
as k > 0, we get k = 2.
Sum of the roots = 5k = 10
⇒ k4 = 16 ⇒ k4 - 16 = 0
⇒ (k – 2)(k + 2)(k2 + 4) = 0 ⇒ k = 2, -2
as k > 0, we get k = 2.
Sum of the roots = 5k = 10
Most Upvoted Answer
If the product of the roots of the equation x2 – 5kx + 2e4 ln k ...
Let the roots of the equation be a and b. Then we know that:
a + b = 5
ab = 6
We want to find the value of a2 + b2. We can use the identity:
(a + b)2 = a2 + 2ab + b2
Expanding this expression and substituting the values we know, we get:
52 = a2 + 2(6) + b2
25 = a2 + b2 + 12
a2 + b2 = 13
Therefore, the value of a2 + b2 is 13.
a + b = 5
ab = 6
We want to find the value of a2 + b2. We can use the identity:
(a + b)2 = a2 + 2ab + b2
Expanding this expression and substituting the values we know, we get:
52 = a2 + 2(6) + b2
25 = a2 + b2 + 12
a2 + b2 = 13
Therefore, the value of a2 + b2 is 13.
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If the product of the roots of the equation x2 – 5kx + 2e4 ln k - 1 = 0 is 31, then sum of the root isa)-10b)5c)-8d)10Correct answer is option 'D'. Can you explain this answer?
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If the product of the roots of the equation x2 – 5kx + 2e4 ln k - 1 = 0 is 31, then sum of the root isa)-10b)5c)-8d)10Correct answer is option 'D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about If the product of the roots of the equation x2 – 5kx + 2e4 ln k - 1 = 0 is 31, then sum of the root isa)-10b)5c)-8d)10Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the product of the roots of the equation x2 – 5kx + 2e4 ln k - 1 = 0 is 31, then sum of the root isa)-10b)5c)-8d)10Correct answer is option 'D'. Can you explain this answer?.
If the product of the roots of the equation x2 – 5kx + 2e4 ln k - 1 = 0 is 31, then sum of the root isa)-10b)5c)-8d)10Correct answer is option 'D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about If the product of the roots of the equation x2 – 5kx + 2e4 ln k - 1 = 0 is 31, then sum of the root isa)-10b)5c)-8d)10Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the product of the roots of the equation x2 – 5kx + 2e4 ln k - 1 = 0 is 31, then sum of the root isa)-10b)5c)-8d)10Correct answer is option 'D'. Can you explain this answer?.
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