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Find a+b+c+d

Source: 1978 AHSME Problem 13

June 6, 2014
algebrapolynomialVietaAMC

Problem Statement

If a,b,c,a,b,c, and dd are non-zero numbers such that cc and dd are the solutions of x2+ax+b=0x^2+ax+b=0 and aa and bb are the solutions of x2+cx+d=0x^2+cx+d=0, then a+b+c+da+b+c+d equals
<spanclass=latexbold>(A)</span>0<spanclass=latexbold>(B)</span>2<spanclass=latexbold>(C)</span>2<spanclass=latexbold>(D)</span>4<spanclass=latexbold>(E)</span>(1+5)/2<span class='latex-bold'>(A) </span>0\qquad<span class='latex-bold'>(B) </span>-2\qquad<span class='latex-bold'>(C) </span>2\qquad<span class='latex-bold'>(D) </span>4\qquad <span class='latex-bold'>(E) </span>(-1+\sqrt{5})/2