A Crazy Simultaneous Equations Problem: Find all Positive Solutions

Name: A Crazy Simultaneous Equations Problem: Find all Positive Solutions
Uploaded: 2025-11-23T03:37:54.183Z
Duration: 9 min 9 s
Channel: Physicists and Astronomers
Description: We solve x_{1} + 1/x_{2} = ... = x_{99} + 1/x_{100} = sqrt{2}, x_{2} + 1/x_{3} = ... = x_{100} + 1/x_{1} = sqrt{8}, for all positive solutions.

Physicists and Astronomers

6 Video Views·Nov 23, 2025

We solve x_{1} + 1/x_{2} = ... = x_{99} + 1/x_{100} = sqrt{2}, x_{2} + 1/x_{3} = ... = x_{100} + 1/x_{1} = sqrt{8}, for all positive solutions.

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