A More Difficult Number-Plus-Reciprocal Problem
Algebra
Level
2
\[ x^{2048}+\frac{1}{x^{2048}}+x^{2047}-\frac{1}{x^{2047}}+\frac{1}{x^{2049}}-x^{2049}+2 \]
Find the value of the above expression if we know that \(x + \frac 1 x = 2\).
by
minimario minimario