An Easy Way And A Hard Way I
Algebra
Level
4
\[ \Large \left | \sum_{j=0}^{100} x^{2^j} + \dfrac1{x^{2^j}}\right | \]
Given that \(x\) is a complex number satisfying the constraint \( x + \dfrac1x = 1\), find the value of the expression above.
by
Brandon Monsen