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1993 AMC 12 Question 26

AMC12 · 1993 AMC 12

Question 26

Find the largest positive value attained by the function $$
\begin{aligned} f(x)&=\sqrt{8x-x^2}\\ &\quad-\sqrt{14x-x^2-48}, \end{aligned}
$$ $x$ a real number.
  1. $\sqrt7-1$
  2. $3$
  3. $2\sqrt3$
  4. $4$
  5. $\sqrt{55}-\sqrt5$