How do you solve #y + 2/y = 1/y - 5#?
Multiply through by
First multiply both sides by
(Note that in general multiplying both sides of an equation by
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: