Algebra 3 - by Vlad Vasilescu (W)

Algebra Level 3

(5+26)x+(526)x=10\large \left(\sqrt{5+2\sqrt{6}}\right)^x + \left(\sqrt{5-2\sqrt{6}}\right)^x = 10

The equation above has 2 roots. Find the positive root to 2 decimal places.

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