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1964 AHSME Problems/Problem 30

Revision as of 16:46, 5 March 2014 by Bobthesmartypants (talk | contribs) (Created page with "==Problem== The larger root minus the smaller root of the equation <cmath>(7+4\sqrt{3})x^2+(2+\sqrt{3})x-2=0</cmath> is <math>\textbf{(A) }-2+3\sqrt{3}\qquad\textbf{(B) }2-\sq...")
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Problem

The larger root minus the smaller root of the equation \[(7+4\sqrt{3})x^2+(2+\sqrt{3})x-2=0\] is

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

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