SOLUTION: Please help - need to solve: x/x^2-1 = 1/x+1 + 1/x^2-1

Question 59041: Please help - need to solve:
x/x^2-1 = 1/x+1 + 1/x^2-1
Answer by funmath(2933) (Show Source): You can put this solution on YOUR website!
First factor your denominators.

Your LCD is (x+1)(x-1) and x cannot = -1 or +1 or your denominator will equal 0. If you get -1 or +1 for your answer it is extraneous and can't be used.
Multiply every thing by (x+1)(x-1) and your denominators will all be eliminated.

The solution is all real numbers because this is an identity. No matter what you put in for x (within the domain) you will get both sides of the equation are equal. Pick some random numbers besides 1 and -1 and see for yourself.
:
There's easier ways to do this, but you would have to notice some things like if you subtract 1/(x^2-1) from both sides you get:
(x-1)/(x^2-1)=1/(x+1)
(x-1)/((x+1)(x-1))=1/(x+1) cancel and you have:
1/(x+1)=1/(x+1) They're identical.
Happy Calculating!!!

RELATED QUESTIONS
Solve the equation: 3/(x+1) - 1/x = 1/2. REALLY NEED HELP!... (answered by Alan3354)

Please help me solve..... (answered by solver91311)

Multiply: (x-1)(x+1) Multiply: (x-1)(x^2+x+1) Need help ASAP Please! Thanks... (answered by Alan3354)

My problem is: 14/(x^2-1)+1/(x-1)=3/(x+1) I need to solve the equation- please help!!!... (answered by malakumar_kos@yahoo.com)

please help me solve: 2 cos(x/2) + 1 =... (answered by KMST)

Please help solve.... (answered by advanced_Learner)

Help me solve....please!!!... (answered by ichudov)

Simplify (Show work): x-1/x^2+1 * x^4-1/(x-1)^2 * x^2-1/x^4-2x^2+1 x-1/x^2+1 *... (answered by romenoodle)

Hi I need to solve and check the equations for x: x/x-2-x+1/x=8/x^2-2x {{{x/(x -... (answered by scianci)