Difference between revisions of "2005 AMC 10A Problems/Problem 2"
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==Problem== | ==Problem== | ||
− | For each pair of real numbers <math>a< | + | For each pair of real numbers <math>a<cmath>\neq</cmath>b</math>, define the [[operation]] <math>\star</math> as |
<math> (a \star b) = \frac{a+b}{a-b} </math>. | <math> (a \star b) = \frac{a+b}{a-b} </math>. | ||
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[[Category:Introductory Algebra Problems]] | [[Category:Introductory Algebra Problems]] | ||
+ | {{MAA Notice}} |
Revision as of 10:29, 4 July 2013
Problem
For each pair of real numbers , define the operation as
.
What is the value of ?
Solution
See Also
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.