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Problems
Contests
National and Regional Contests
USA Contests
MAA AMC
AMC 12/AHSME
1954 AMC 12/AHSME
40
40
Part of
1954 AMC 12/AHSME
Problems
(1)
Solving an Equation
Source:
2/7/2009
If \left (a\plus{}\frac{1}{a} \right )^2\equal{}3, then a^3\plus{}\frac{1}{a^3} equals:
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<span class='latex-bold'>(A)</span>\ \frac{10\sqrt{3}}{3} \qquad <span class='latex-bold'>(B)</span>\ 3\sqrt{3} \qquad <span class='latex-bold'>(C)</span>\ 0 \qquad <span class='latex-bold'>(D)</span>\ 7\sqrt{7} \qquad <span class='latex-bold'>(E)</span>\ 6\sqrt{3}
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trigonometry