Difference between revisions of "1993 AHSME Problems/Problem 26"

Revision as of 11:53, 24 April 2016

Find the largest positive value attained by the function $f(x)=\sqrt{8x-x^2}-\sqrt{14x-x^2-48}$ , x a real number.

$\text{(A) } \sqrt{7}-1\quad \text{(B) } 3\quad \text{(C) } 2\sqrt{3}\quad \text{(D) } 4\quad \text{(E) } \sqrt{55}-\sqrt{5}$

$\fbox{C}$

1993 AHSME (Problems • Answer Key • Resources)
Preceded by Problem 25	Followed by Problem 27
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30
All AHSME Problems and Solutions

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 Find the largest positive value attained by the function
 <math>f(x)=\sqrt{8x-x^2}-\sqrt{14x-x^2-48}</math>, x a real number.
 <math>\text{(A) } \sqrt{7}-1\quad