SOLUTION: solve for x. show all work. 2-4/x^2=-2/x

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Question 939030: solve for x. show all work.
2-4/x^2=-2/x
Answer by srinivas.g(540)   (Show Source): You can put this solution on YOUR website!

Multiply each term with


Move-2x to the left


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 : .

Discriminant d=36 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 1, -2. Here's your graph:
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