SOLUTION: Find the solution sets for the following: 2/ x+1 + 6 = 3/x-1

Question 92159: Find the solution sets for the following:
2/ x+1 + 6 = 3/x-1
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Find the solution sets for the following:
Assume you mean:
+ 6 =
:
Multiply each term in the equation by (x+1)(x-1), results in:
2(x-1) + 6(x+1)(x-1) = 3(x+1)
:
2x - 2 + 6(x^2 - 1) = 3x + 3; FOILed (x+1)*(x-1)
2x - 2 + 6x^2 - 6 = 3x + 3
:
Arrange as a quadratic equation on the left:
6x^2 + 2x - 3x - 2 - 6 - 3 = 0
:
6x^2 - x - 11 = 0
:
Use the quadratic formula to find x: a=6; b=-1; c=-11

:
; minus a minus is a plus
:

:
Two solutions:

x =
x = +1.44
and

x =
x = -1.273
:
You should check these solutions in the original equation.
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