# How do you solve  5 / (y - 2) = y + 2?

Apr 13, 2018

${y}_{1} = 3 \mathmr{and} {y}_{2} = - 3$

#### Explanation:

$\frac{5}{y - 2} = y + 2 | \cdot \left(y - 2\right)$
$5 = \left(y + 2\right) \left(y - 2\right)$
$5 = {y}^{2} - {2}^{2} | + {2}^{2}$
$9 = {y}^{2} | \sqrt{}$
$\pm 3 = y$
${y}_{1} = 3 \mathmr{and} {y}_{2} = - 3$