What all concepts should I know to answer this question? Just give the basic guidelines and then, I will try to solve.
2026-05-06 06:04:41.1778047481
The real roots of $(x-41)^{49}+(x-49)^{41}+(x-2009)^{2009}$
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Hint: This polynomial is the sum of strictly increasing functions so it is strictly increasing. Hence it have at most ... real root(s).
I think the rest is clear.