AoPS Wiki talk:Problem of the Day/September 7, 2011
Revision as of 08:22, 7 September 2011 by Negativebplusorminus (talk | contribs) (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...")
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,
.