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Let two numbers have arithmetic mean 9 and geometric mean 4. Then these numbers are the roots of the quadratic equation-
[AIEEE- 2004]
  • a)
    x2 + 18 x + 16 = 0
  • b)
    x2 – 18x + 16 = 0
  • c)
    x2 + 18 x – 16 = 0
  • d)
    x2 – 18 x – 16 = 0
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Let two numbers have arithmetic mean 9 and geometric mean 4. Then thes...
Let the numbers be a & b,

a + b = 18 & ab = 16
∴ Q.E. with roots a & b is
x2- (a + b)x + ab = 0
⇒ x2 - 18x + 16 = 0 
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Let two numbers have arithmetic mean 9 and geometric mean 4. Then these numbers are the roots of the quadratic equation-[AIEEE- 2004]a)x2 + 18 x + 16 = 0b)x2 – 18x + 16 = 0c)x2 + 18 x – 16 = 0d)x2 – 18 x – 16 = 0Correct answer is option 'B'. Can you explain this answer?
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Let two numbers have arithmetic mean 9 and geometric mean 4. Then these numbers are the roots of the quadratic equation-[AIEEE- 2004]a)x2 + 18 x + 16 = 0b)x2 – 18x + 16 = 0c)x2 + 18 x – 16 = 0d)x2 – 18 x – 16 = 0Correct answer is option 'B'. 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 Let two numbers have arithmetic mean 9 and geometric mean 4. Then these numbers are the roots of the quadratic equation-[AIEEE- 2004]a)x2 + 18 x + 16 = 0b)x2 – 18x + 16 = 0c)x2 + 18 x – 16 = 0d)x2 – 18 x – 16 = 0Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let two numbers have arithmetic mean 9 and geometric mean 4. Then these numbers are the roots of the quadratic equation-[AIEEE- 2004]a)x2 + 18 x + 16 = 0b)x2 – 18x + 16 = 0c)x2 + 18 x – 16 = 0d)x2 – 18 x – 16 = 0Correct answer is option 'B'. Can you explain this answer?.
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