Difference between revisions of "AoPS Wiki talk:Problem of the Day/September 7, 2011"
(Created page with "Raising that thing to the seventh doesn't look appealing, nor does solving for <math>x</math>. So we try getting to <math>x^7+\frac{1}{x^7}</math> gradually. Since <math>x+\fra...") |
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Revision as of 08:22, 7 September 2011
Raising that thing to the seventh doesn't look appealing, nor does solving for . So we try getting to gradually.
Since , and thus .
We can also compute: so .
Squaring , we see and thus . Thus, and therefore, .