Difference between revisions of "1966 AHSME Problems/Problem 33"
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Revision as of 02:34, 15 September 2014
Problem
If 
and 
, the number of distinct values of 
satisfying the equation
![\[\frac{x-a}{b}+\frac{x-b}{a}=\frac{b}{x-a}+\frac{a}{x-b},\]](http://latex.artofproblemsolving.com/b/4/d/b4dfad7746d087a93d579bcbceadafc0c3ca8d55.png)
is:
Solution
See also
| 1966 AHSME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 32 |
Followed by Problem 34 | |
| 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. 
