MathDB
P11 [Algebra] - Turkish NMO 1st Round - 2013

Source:

April 19, 2013

Problem Statement

How many pairs of real numbers (x,y)(x,y) are there such that x4+y4+2x2y+2xy2+2=x2+y2+2x+2yx^4+y^4 + 2x^2y + 2xy^2+ 2 = x^2 + y^2 + 2x + 2y?
<spanclass=latexbold>(A)</span> 6<spanclass=latexbold>(B)</span> 5<spanclass=latexbold>(C)</span> 4<spanclass=latexbold>(D)</span> 3<spanclass=latexbold>(E)</span> 2 <span class='latex-bold'>(A)</span>\ 6 \qquad<span class='latex-bold'>(B)</span>\ 5 \qquad<span class='latex-bold'>(C)</span>\ 4 \qquad<span class='latex-bold'>(D)</span>\ 3 \qquad<span class='latex-bold'>(E)</span>\ 2