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1983 USAMO

Revision as of 19:19, 13 November 2011 by Sjaelee (talk | contribs) (→‎Problem 1)

1983 USAMO Problems

1983 USAMO problems and solutions. The first link contains the full set of test problems. The rest contain each individual problem and its solution.

1983 USAMO Problem 1

Problem 2

Prove that the zeros of

\[x^5+ax^4+bx^3+cx^2+dx+e=0\]

cannot all be real if $2a^2<5b$.

Solution

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