## Algebra 1: Common Core (15th Edition)

$x=\frac{1}{2}+\frac{3}{x}$ $x=\frac{x+6}{2x}$ $x+6=2x^2$ $2x^2-x-6=0$ $(x-2)(2x+3)=0$ $x=2$ or $x=-\frac{3}{2}=-1.5$ Hence, the nearest value to the solutions is option B.