Difference between revisions of "1991 AHSME Problems/Problem 27"

m
m (Solution)
Line 6: Line 6:
  
 
== Solution ==
 
== Solution ==
<math>\fbox{}</math>
+
<math>\fbox{7}</math>
  
 
== See also ==
 
== See also ==

Revision as of 15:57, 28 September 2014

Problem

If $x+\sqrt{x^2-1}+\frac{1}{x-\sqrt{x^2-1}}=20$ then $x^2+\sqrt{x^4-1}+\frac{1}{x^2+\sqrt{x^4-1}}=$

(A) $5.05$ (B) $20$ (C) $51.005$ (D) $61.25$ (E) $400$

Solution

$\fbox{7}$

See also

1991 AHSME (ProblemsAnswer KeyResources)
Preceded by
Problem 26
Followed by
Problem 28
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

The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. AMC logo.png