# How do you solve x+2/x=3?

Feb 8, 2017

$x = 1$ or $x = 2$

#### Explanation:

$x + \frac{2}{x} = 3$
$\frac{2}{x} = 3 - x$
$2 = x \left(3 - x\right)$
$2 = 3 x - {x}^{2}$
${x}^{2} - 3 x + 2 = 0$
$\left(x - 1\right) \left(x - 2\right) = 0$

$x - 1 = 0$ or $x - 2 = 0$
$x = 1$ or $x = 2$