olymmath

Putnam 2022 A1

  • Session A

Determine all ordered pairs of real numbers (a,b)(a,b) such that the line y=ax+by = ax+b intersects the curve y=ln⁡(1+x2)y = \ln(1+x^2) in exactly one point.

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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