That mm Under The Radicals

Algebra Level 2

There exists a unique positive integer mm such that (1+m)n=2(1+m)n1+(1+m)n2 \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 mm.

×

Problem Loading...

Note Loading...

Set Loading...