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HKIMO 2026 THPT (Grades 10–12 shared) National Preliminary Set 04 Question 12

HKIMO · HKIMO 2026 THPT (Grades 10–12 shared) National Preliminary Set 04

Question 12

For real $x$, find the maximum of $A=\dfrac{10}{\sqrt{x^2+14x+99}}$.
  1. $\sqrt2$
  2. 2
  3. 10
  4. $\sqrt{10}$