MathDB
Find k

Source: AHSME 1963 Problem 14

January 9, 2014
AMC

Problem Statement

Given the equations x2+kx+6=0x^2+kx+6=0 and x2kx+6=0x^2-kx+6=0. If, when the roots of the equation are suitably listed, each root of the second equation is 55 more than the corresponding root of the first equation, then kk equals:
<spanclass=latexbold>(A)</span> 5<spanclass=latexbold>(B)</span> 5<spanclass=latexbold>(C)</span> 7<spanclass=latexbold>(D)</span> 7<spanclass=latexbold>(E)</span> none of these<span class='latex-bold'>(A)</span>\ 5 \qquad <span class='latex-bold'>(B)</span>\ -5 \qquad <span class='latex-bold'>(C)</span>\ 7 \qquad <span class='latex-bold'>(D)</span>\ -7 \qquad <span class='latex-bold'>(E)</span>\ \text{none of these}