Mock AIME 2 2006-2007 Problems/Problem 11
Problem
Find the sum of the squares of the roots, real or complex, of the system of simultaneous equations
Solution
The roots are ,
, and
, and we add the squares:
See Also
Mock AIME 2 2006-2007 (Problems, Source) | ||
Preceded by Problem 10 |
Followed by Problem 12 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 |
http://www.artofproblemsolving.com/Wiki/index.php/1973_USAMO_Problems/Problem_4