Difference between revisions of "AoPS Wiki:Problem of the Day/September 7, 2011"
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Given <cmath>x + \frac{1}{x} = 1,</cmath> calculate <cmath>x^7 + \frac{1}{x^7}.</cmath> | Given <cmath>x + \frac{1}{x} = 1,</cmath> calculate <cmath>x^7 + \frac{1}{x^7}.</cmath> | ||
| + | <noinclude>[[category:Problem of the Day]]</noinclude> | ||
Latest revision as of 08:21, 7 September 2011
Given ![\[x + \frac{1}{x} = 1,\]](http://latex.artofproblemsolving.com/9/c/e/9ce375bb6f46a396332118c178e5f7caa3125bc5.png)
calculate ![\[x^7 + \frac{1}{x^7}.\]](http://latex.artofproblemsolving.com/1/2/2/122d3efe06f99939b282fa6678d2e83f0ca8f696.png)
