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

$y = \pm 3$ is The Soln.
$\frac{5}{y - 2} = y + 2. \Rightarrow 5 = \left(y - 2\right) \left(y + 2\right) \Rightarrow 5 = {y}^{2} - 4 \Rightarrow 5 + 4 = {y}^{2} \Rightarrow {y}^{2} = 9 \Rightarrow y = \pm 3$
These roots satisfy the given eqn. Hence, the roos of the eqn. are $\pm 3$