AoPS Wiki:Problem of the Day/September 7, 2011

< AoPS Wiki:Problem of the Day
Revision as of 08:18, 7 September 2011 by Negativebplusorminus (talk | contribs) (Created page with "Given <cmath>x + \frac{1}{x} = 1,</cmath> calculate <cmath>x^7 + \frac{1}{x^7}.</cmath>")
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Given \[x + \frac{1}{x} = 1,\] calculate \[x^7 + \frac{1}{x^7}.\]