MathDB
Sum of Roots of Sum of Products

Source:

February 11, 2008

Problem Statement

Compute the sum of all the roots of (2x \plus{} 3)(x \minus{} 4) \plus{} (2x \plus{} 3)(x \minus{} 6) \equal{} 0. <spanclass=latexbold>(A)</span> 7/2<spanclass=latexbold>(B)</span> 4<spanclass=latexbold>(C)</span> 5<spanclass=latexbold>(D)</span> 7<spanclass=latexbold>(E)</span> 13 <span class='latex-bold'>(A)</span>\ 7/2 \qquad <span class='latex-bold'>(B)</span>\ 4 \qquad <span class='latex-bold'>(C)</span>\ 5 \qquad <span class='latex-bold'>(D)</span>\ 7 \qquad <span class='latex-bold'>(E)</span>\ 13