Difference between revisions of "1972 AHSME Problems/Problem 3"
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{...") |
Lopkiloinm (talk | contribs) (→Solution) |
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== Solution == | == Solution == | ||
| − | Using DeMoivre's theorem, we can calculate <math>x^2=\frac{1+i\sqrt{3}}{2}</math> The denominator is therefore <math>-1</math> which makes the answer <math>textbf{( | + | Using DeMoivre's theorem, we can calculate <math>x^2=\frac{1+i\sqrt{3}}{2}</math> The denominator is therefore <math>-1</math> which makes the answer <math>\boxed{\textbf{(C) }-1</math>. ~lopkiloinm |
Revision as of 01:53, 7 November 2020
Problem 3
If 
where 
, then 
is equal to
Solution
Using DeMoivre's theorem, we can calculate 
The denominator is therefore 
which makes the answer $\boxed{\textbf{(C) }-1$ (Error compiling LaTeX. Unknown error_msg). ~lopkiloinm
