SOLUTION: Please help me solve this rational equation: {{{ 1/(2x+2) + 5/(x^2-1) = 1/(x-1)}}}

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Question 1072925: Please help me solve this rational equation:


Found 4 solutions by Alan3354, josgarithmetic, ankor@dixie-net.com, MathTherapy:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Multiply by x^2-1 to eliminate fractions.
Answer by josgarithmetic(39618)   (Show Source): You can put this solution on YOUR website!
Multiply left and right sides by to eliminate the denominators.
Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!

Factor the denominators

Multiply by the common denominators 2(x+1)(x-1), cancel and we have
(x-1) + 2(5) = 2(x+1)
x - 1 + 10 = 2x + 2
9 - 2 = 2x - x
7 = x
:
:
Check in the original equation, replace x=7
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

Please help me solve this rational equation: 

2x + 2 = 2(x + 1)

 = (x - 1)(x + 1)

LCD: 2(x + 1)(x - 1)

 

1(x - 1) + 5(2) = 1(2)(x + 1) ------ Multiplying by LCD, 2(x - 1)(x + 1)

x - 1 + 10 = 2x + 2

x + 9 = 2x + 2

x - 2x = 2 - 9

- x = - 7

 

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