1
Part of 1996 Vietnam National Olympiad
Problems(2)
System of equations
Source: Vietnam NMO 1996, Problem 1
9/5/2008
Solve the system of equations:
\sqrt {3x}(1 \plus{} \frac {1}{x \plus{} y}) \equal{} 2
\sqrt {7y}(1 \minus{} \frac {1}{x \plus{} y}) \equal{} 4\sqrt {2}
algebrasystem of equationsalgebra proposed
f:N--> N
Source: Vietnam 1996- A
10/4/2007
Find all so that :
f(n) \plus{} f(n \plus{} 1) \equal{} f(n \plus{} 2)f(n \plus{} 3) \minus{} 1996
functionalgebra proposedalgebra