Difference between revisions of "AoPS Wiki talk:Problem of the Day/September 8, 2011"
(Created page with "==Solution== We see complicated expressions, so we replace them with variables. Let <math>a=2^x-4</math> and <math>b=4^x-2</math>. Then our equation reads <math>a^3+b^3=(a+b)^...") |
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Latest revision as of 16:57, 8 September 2011
Solution
We see complicated expressions, so we replace them with variables. Let and . Then our equation reads . Expanding the left gives: which in turn gives . This means that either , , or .
If , then and .
If , then and .
If , then and .
The sum is .