2017 AMC 12B Problems/Problem 12

Revision as of 22:03, 16 February 2017 by Vedadehhc (talk | contribs) (Created page with "==Problem 12== What is the sum of the roots of <math>z^{12}=64</math> that have a positive real part? <math>\textbf{(A)}\ 2 \qquad \textbf{(B)}\ 4 \qquad \textbf{(C)}\ \sqrt...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Problem 12

What is the sum of the roots of $z^{12}=64$ that have a positive real part?

$\textbf{(A)}\ 2 \qquad \textbf{(B)}\ 4 \qquad \textbf{(C)}\ \sqrt{2}+2\sqrt{3} \qquad \textbf{(D)}\ 2\sqrt{2}+\sqrt{6} \qquad \textbf{(E)}\ (1+\sqrt{3}) + (1+\sqrt{3})i$

Solution

Invalid username
Login to AoPS