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

May 28, 2017

$x = 2 \mathmr{and} 1$
By multiplying $x$ on both sides of the equation,
$\left(3 - x\right) x = \frac{2}{x} \cdot x$
$3 x - {x}^{2} = 2$
${x}^{2} - 3 x + 2 = 0$
$\left(x - 2\right) \left(x - 1\right) = 0$
$x = 2 \mathmr{and} 1$