Hey guys!
I plan on reviving continuing this topic, starting with some awesome news, I was chosen for the Selection phase of the Ecuadorian Mathematic Olympiads! This means I'm among the 20 best young mathematicians of my country! I feel really great about it, even though I was not in the first 3 places.
Here's the link if you want to check (so you can see I'm not lying haha): http://www.icm.espol.edu.ec/intercolegial/fase_seleccion_oem.html
I'm Bruno Giuseppe Poggi Cevallos and I study in the Arco Iris school. For the record I'm not from Guayaquil, but due to the fact that I had to go to Guayaquil to do the test, my city says Guayaquil hehe
And to kick up this topic again, here's a problem from the last olympiads. Please do not use calculators on this one.
Consider the algebraic expression:
(1+(2008+Π)4+(2009+Π)4) -(2008+Π)2-Π-1
(1+(2008+Π)2+(2009+Π)2)
Determine its value.
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By the way, the part (1+(2008+Π)4+(2009+Π)4) is dividing (1+(2008+Π)2+(2009+Π)2), and that as a whole is being algebraically added to -(2008+Π)2-Π-1
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Now if you want to see all the problems of my tests and their solutions, go here:
http://www.icm.espol.edu.ec/intercolegial/resolucion.html
The first link that says "Resolución" is my last test, and this problem, among others, can be found there. Good luck trying to solve them on your own!
