SOLUTION: 1/(x-1)+2 /(x+1)=2

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Question 975277: 1/(x-1)+2 /(x+1)=2
Answer by amarjeeth123(569)   (Show Source): You can put this solution on YOUR website!
1/(x-1)+2 /(x+1)=2
Simplifying we get,
[x+1+2(x-1)]/(x^2-1)=2
3x-1=2x^2-2
2x^2-3x-1=0
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=17 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 1.78077640640442, -0.280776406404415. Here's your graph:

x=1.78 or x=-0.28

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