# How do you solve #2/(x+1)+x/(x-1)=2/(x^2-1)#?

##### 1 Answer

Sep 25, 2016

#### Explanation:

Note that

Multiply the given equation through by

#2(x-1)+x(x+1) = 2#

Multiply out to get:

#2x-2+x^2+x = 2#

Simplify to get:

#x^2+3x-2 = 2#

Subtract

#0 = x^2+3x-4 = (x+4)(x-1)#

From this we find

Note that

So the only valid solution is