MathDB
2018 PUMaC Live Round 5.2

Source:

January 13, 2019
PuMACLive Round

Problem Statement

Find x2x^2 given that tan⁡−1(x)+tan⁡−1(3x)=π6\tan^{-1}(x)+\tan^{-1}(3x)=\frac{\pi}{6} and 0<x<π60<x<\frac{\pi}{6}.
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