Difference between revisions of "2006 SMT/Team Problems/Problem 6"
(Created page with "==Solution== Rewriting <math> 16^n+4^n+1 </math> as <math>2^{4n}+2^{2n}+1</math> we can set the two given expressions equal to each other. <cmath>\begin{align*} \frac{(2^{p(...") |
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Latest revision as of 14:12, 14 January 2020
Solution
Rewriting as we can set the two given expressions equal to each other.
We now notice that if we let and then we have two polynomials which when divided equal a constant:
Therefore . So the required answer is: