SOLUTION: how do I solve this equation? I have to find the real roots for {{{y^(-2)-2/y +2=0}}}

Question 182706This question is from textbook
: how do I solve this equation? I have to find the real roots for This question is from textbook

Answer by vleith(2983) (Show Source): You can put this solution on YOUR website!
Multiply thru by y^2 to get

Now use quadratic equation to solve

Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

The discriminant -4 is less than zero. That means that there are no solutions among real numbers.

If you are a student of advanced school algebra and are aware about imaginary numbers, read on.

In the field of imaginary numbers, the square root of -4 is + or - .

The solution is

Here's your graph:

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