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

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

Revision as of 10:52, 24 April 2016

Problem

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

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

Solution

$\fbox{C}$

See also

1993 AHSME (ProblemsAnswer KeyResources)
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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