1972 AHSME Problems/Problem 3
Revision as of 01:52, 7 November 2020 by Lopkiloinm (talk | contribs) (Created page with "== Problem 3 == If <math>x=\dfrac{1-i\sqrt{3}}{2}</math> where <math>i=\sqrt{-1}</math>, then <math>\dfrac{1}{x^2-x}</math> is equal to <math>\textbf{(A) }-2\qquad \textbf{...")
Problem 3
If where
, then
is equal to
Solution
Using DeMoivre's theorem, we can calculate The denominator is therefore
which makes the answer
. ~lopkiloinm