MathDB
AHSME 1950- part 2

Source:

July 19, 2008

Problem Statement

The equation x\plus{}\sqrt{x\minus{}2}\equal{}4 has:
<spanclass=latexbold>(A)</span> 2 real roots<spanclass=latexbold>(B)</span> 1 real and 1 imaginary root<spanclass=latexbold>(C)</span> 2 imaginary roots<spanclass=latexbold>(D)</span> No roots<spanclass=latexbold>(E)</span> 1 real root<span class='latex-bold'>(A)</span>\ \text{2 real roots} \qquad <span class='latex-bold'>(B)</span>\ \text{1 real and 1 imaginary root} \qquad <span class='latex-bold'>(C)</span>\ \text{2 imaginary roots} \qquad <span class='latex-bold'>(D)</span>\ \text{No roots} \qquad <span class='latex-bold'>(E)</span>\ \text{1 real root}