MathDB
2019 Individual #20

Source:

May 1, 2022
2019 Individual

Problem Statement

Given that two real numbers xx and yy satisfy x26xy+9y2+x3=0x^2 - 6xy + 9y^2 + |x - 3| = 0, calculate x+yx + y.
<spanclass=latexbold>(A)</span>1<spanclass=latexbold>(B)</span>3<spanclass=latexbold>(C)</span>4<spanclass=latexbold>(D)</span>16<spanclass=latexbold>(E)</span>impossible to determine<span class='latex-bold'>(A) </span>1\qquad<span class='latex-bold'>(B) </span>3\qquad<span class='latex-bold'>(C) </span>4\qquad<span class='latex-bold'>(D) </span>16\qquad<span class='latex-bold'>(E) </span>\text{impossible to determine}