# How do you solve #y + 2/y = 1/y - 5#?

##### 1 Answer

Multiply through by

#### Explanation:

Given:

First multiply both sides by

(Note that in general multiplying both sides of an equation by

Add

By the rational roots theorem we can immediately see that the only possible rational roots would be

Let's use the quadratic formula.

Our quadratic equation is of the form

The discriminant is given by the formula:

Being positive but not a perfect square we can tell that our equations has two distinct irrational real roots.

The solutions are given by the formula: