MathDB
Radical Equation

Source:

February 15, 2009

Problem Statement

The equation \sqrt {x \plus{} 4} \minus{} \sqrt {x \minus{} 3} \plus{} 1 \equal{} 0 has: <spanclass=latexbold>(A)</span> no root<spanclass=latexbold>(B)</span> one real root <span class='latex-bold'>(A)</span>\ \text{no root} \qquad<span class='latex-bold'>(B)</span>\ \text{one real root} <spanclass=latexbold>(C)</span> one real root and one imaginary root <span class='latex-bold'>(C)</span>\ \text{one real root and one imaginary root} <spanclass=latexbold>(D)</span> two imaginary roots<spanclass=latexbold>(E)</span> two real roots <span class='latex-bold'>(D)</span>\ \text{two imaginary roots} \qquad<span class='latex-bold'>(E)</span>\ \text{two real roots}