MathDB
Turkey NMO 2008 1st Round - P35 (Algebra)

Source:

August 27, 2012

Problem Statement

What is the least real value of the expression x2−6x+13+x2−14x+58\sqrt{x^2-6x+13} + \sqrt{x^2-14x+58} where xx is a real number?
<spanclass=′latex−bold′>(A)</span> 39<spanclass=′latex−bold′>(B)</span> 6<spanclass=′latex−bold′>(C)</span> 436<spanclass=′latex−bold′>(D)</span> 22+13<spanclass=′latex−bold′>(E)</span> None of the above <span class='latex-bold'>(A)</span>\ \sqrt {39} \qquad<span class='latex-bold'>(B)</span>\ 6 \qquad<span class='latex-bold'>(C)</span>\ \frac {43}6 \qquad<span class='latex-bold'>(D)</span>\ 2\sqrt 2 + \sqrt {13} \qquad<span class='latex-bold'>(E)</span>\ \text{None of the above}
Back to ProblemsView on AoPS