Difference between revisions of "Mock AIME 2 2006-2007 Problems/Problem 11"
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==See Also== | ==See Also== | ||
http://www.artofproblemsolving.com/Wiki/index.php/1973_USAMO_Problems/Problem_4 | http://www.artofproblemsolving.com/Wiki/index.php/1973_USAMO_Problems/Problem_4 | ||
{{Mock AIME box|year=2006-2007|n=2|num-b=10|num-a=12}} | {{Mock AIME box|year=2006-2007|n=2|num-b=10|num-a=12}} |
Latest revision as of 21:55, 20 October 2019
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
http://www.artofproblemsolving.com/Wiki/index.php/1973_USAMO_Problems/Problem_4
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 |