MathDB
Turkish NMO First Round - 2012 Problem - 19 {Algebra}

Source:

July 1, 2012
quadraticsalgebra

Problem Statement

What is the sum of real roots of the equation x47x3+14x214x+4=0x^4-7x^3+14x^2-14x+4=0?
<spanclass=latexbold>(A)</span> 1<spanclass=latexbold>(B)</span> 2<spanclass=latexbold>(C)</span> 3<spanclass=latexbold>(D)</span> 4<spanclass=latexbold>(E)</span> 5 <span class='latex-bold'>(A)</span>\ 1 \qquad <span class='latex-bold'>(B)</span>\ 2 \qquad <span class='latex-bold'>(C)</span>\ 3 \qquad <span class='latex-bold'>(D)</span>\ 4 \qquad <span class='latex-bold'>(E)</span>\ 5