2007 Cyprus MO/Lyceum/Problem 1
Problem
If , then the value of the expression is
Solution
Rearranging the variables in the equation gives, . Factoring the equation gives us . We are given that , therefore we can simplify the equation into , .
See also
2007 Cyprus MO, Lyceum (Problems) | ||
Preceded by First Question |
Followed by Problem 2 | |
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 |