MathDB
Dealing with roots

Source: 1964 AHSME Problem 30

August 26, 2013
quadraticsAMC

Problem Statement

If (7+43)x2+(2+3)x−2=0(7+4\sqrt{3})x^2+(2+\sqrt{3})x-2=0, the larger root minus the smaller root is:
<spanclass=′latex−bold′>(A)</span> −2+33<spanclass=′latex−bold′>(B)</span> 2−3<spanclass=′latex−bold′>(C)</span> 6+33<spanclass=′latex−bold′>(D)</span> 6−33<spanclass=′latex−bold′>(E)</span> 33+2 <span class='latex-bold'>(A)</span>\ -2+3\sqrt{3}\qquad<span class='latex-bold'>(B)</span>\ 2-\sqrt{3}\qquad<span class='latex-bold'>(C)</span>\ 6+3\sqrt{3}\qquad<span class='latex-bold'>(D)</span>\ 6-3\sqrt{3}\qquad<span class='latex-bold'>(E)</span>\ 3\sqrt{3}+2
Back to ProblemsView on AoPS