Mock AIME 2 2006-2007 Problems/Problem 4

Revision as of 16:22, 24 July 2006 by 4everwise (talk | contribs)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Problem

Let $\displaystyle n$ be the smallest positive integer for which there exist positive real numbers $\displaystyle a$ and $\displaystyle b$ such that $\displaystyle (a+bi)^n=(a-bi)^n$. Compute $\displaystyle \frac{b^2}{a^2}$.

Invalid username
Login to AoPS