2005 AMC 10A Problems/Problem 2
Problem
For each pair of real numbers 
, define the operation 
as
![\[(a \star b) = \frac{a+b}{a-b}.\]](http://latex.artofproblemsolving.com/7/4/d/74d9344dab3ec93518b1f12276a642d901688dbb.png)
What is the value of 
?
Solution
.
Video Solution 1
Video Solution 2
~Charles3829
See also
| 2005 AMC 10A (Problems • Answer Key • Resources) | ||
| Preceded by Problem 1 |
Followed by Problem 3 | |
| 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 | ||
| All AMC 10 Problems and Solutions | ||
These problems are copyrighted © by the Mathematical Association of America, as part of the American Mathematics Competitions. 
