Question:

If x is a positive integer satisfying \(64 ≤ x ≤ 121\) and \(y = \frac{x^2 + 4\sqrt{x}(x + 16) + 256}{x + 8\sqrt{x} + 16}\) then which of the following is satisfied by y?

Updated On: Jul 24, 2024
  • \(39 ≤ y ≤ 68\)
  • \(38 < y < 94\)
  • \(40 < y ≤ 68\)
  • \( 42 ≤ y ≤ 78\)
  • \( 52 ≤ y ≤ 88\)
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The Correct Option is B

Solution and Explanation

The correct answer is option (B): \(38 < y < 94\)
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