Difference between revisions of "1988 USAMO Problems/Problem 2"
(Created page with "==Problem== The cubic polynomial <math>x^3+ax^2+bx+c</math> has real coefficients and three real roots <math>r\ge s\ge t</math>. Show that <math>k=a^2-3b\ge 0</math> and that <ma...") |
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==See Also== | ==See Also== | ||
{{USAMO box|year=1988|num-b=1|num-a=3}} | {{USAMO box|year=1988|num-b=1|num-a=3}} | ||
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[[Category:Olympiad Algebra Problems]] | [[Category:Olympiad Algebra Problems]] | ||
Revision as of 20:44, 3 July 2013
Problem
The cubic polynomial 
has real coefficients and three real roots 
. Show that 
and that 
.
Solution
This problem needs a solution. If you have a solution for it, please help us out by adding it.
See Also
| 1988 USAMO (Problems • Resources) | ||
| Preceded by Problem 1 |
Followed by Problem 3 | |
| 1 • 2 • 3 • 4 • 5 | ||
| All USAMO Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
