MathDB

3

Part of 2009 National Olympiad First Round

Problems(1)

x = \sqrt[3]{11 + \sqrt{337}} + \sqrt[3]{11 - \sqrt{337}}

Source: 0

4/28/2009
If x \equal{} \sqrt [3]{11 \plus{} \sqrt {337}} \plus{} \sqrt [3]{11 \minus{} \sqrt {337}}, then x^3 \plus{} 18x = ?
<spanclass=′latex−bold′>(A)</span> 24<spanclass=′latex−bold′>(B)</span> 22<spanclass=′latex−bold′>(C)</span> 20<spanclass=′latex−bold′>(D)</span> 11<spanclass=′latex−bold′>(E)</span> 10<span class='latex-bold'>(A)</span>\ 24 \qquad<span class='latex-bold'>(B)</span>\ 22 \qquad<span class='latex-bold'>(C)</span>\ 20 \qquad<span class='latex-bold'>(D)</span>\ 11 \qquad<span class='latex-bold'>(E)</span>\ 10