2008 AMC 10B Problems/Problem 5
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Problem
For real numbers 
and 
, define 
. What is 
?
Solution
Since 
, it follows that 
, and
![(x-y)^2 * (y-x)^2 = [(x-y)^2 - (y-x)^2]^2 = [(x-y)^2 - (x-y)^2]^2 = 0\ \mathrm{(A)}.](http://alt1.artofproblemsolving.com/Forum/latexrender/pictures/1/a/a/1aa50f40ae67faec3ca9d8e50cd71ce8cfaba26c.gif)
See also
| 2008 AMC 10B (Problems • Resources) | ||
| Preceded by Problem 4 | Followed by Problem 6 | |
| 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 | ||
