olymmath

Putnam 1998 B1

  • Session B

Find the minimum value of (x+1/x)6−(x6+1/x6)−2(x+1/x)3+(x3+1/x3)\frac{(x+1/x)^6-(x^6+1/x^6)-2}{(x+1/x)^3+(x^3+1/x^3)} for x>0x>0.

Curated text Kedlaya Putnam archive. Quoted with source.

Solutions

Human solution Solution 1 by Manjul Bhargava, Kiran Kedlaya and Lenny Ng

The terms of the source let olymmath link to this solution but not copy it. Read the solution (Kedlaya Putnam archive).

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