olymmath

Putnam 1958 A1

  • Session A
  1. If a0,a1,…,ana_{0}, a_{1}, \ldots, a_{n} are real numbers satisfying a01+a12+⋯+ann+1=0\frac{a_{0}}{1}+\frac{a_{1}}{2}+\cdots+\frac{a_{n}}{n+1}=0 show that the equation a0+a1x+a2x2+⋯+anxn=0a_{0}+a_{1} x+a_{2} x^{2}+\cdots+a_{n} x^{n}=0 has at least one real root.

Dataset text PutnamGAP. Quoted with source.

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