# That $$m$$ Under The Radicals

Algebra Level 2

There exists a unique positive integer $$m$$ such that $\quad \left(1+\sqrt{m}\right)^n=2\left(1+\sqrt{m}\right)^{n-1}+\left(1+\sqrt{m}\right)^{n-2}$ is an identity. Find $$m$$.

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