MathDB
Discriminant of Equation

Source:

February 11, 2009
quadraticsalgebraquadratic formula

Problem Statement

The discriminant of the equation x^2\plus{}2x\sqrt{3}\plus{}3\equal{}0 is zero. Hence, its roots are: <spanclass=latexbold>(A)</span> real and equal<spanclass=latexbold>(B)</span> rational and equal<spanclass=latexbold>(C)</span> rational and unequal<spanclass=latexbold>(D)</span> irrational and unequal<spanclass=latexbold>(E)</span> imaginary <span class='latex-bold'>(A)</span>\ \text{real and equal} \qquad <span class='latex-bold'>(B)</span>\ \text{rational and equal} \qquad <span class='latex-bold'>(C)</span>\ \text{rational and unequal} \\ <span class='latex-bold'>(D)</span>\ \text{irrational and unequal} \qquad <span class='latex-bold'>(E)</span>\ \text{imaginary}