SOLUTION: I need help solving this equation 7 + 1 = 3 ------- + --------- = -------- x2-x-2 x+1 x-2

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Question 88309: I need help solving this equation
7 + 1 = 3
------- + --------- = --------
x2-x-2 x+1 x-2
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
:
7%2F%28%28x%5E2-x-2%29%29 + 1%2F%28%28x%2B1%29%29 = 3%2F%28%28x-2%29%29
:
The 1st denominator can be factored:
7%2F%28%28x-2%29%28x%2B1%29%29 + 1%2F%28%28x%2B1%29%29 = 3%2F%28%28x-2%29%29
:
Multiplying thru (each term) by (x-2)(x+1) will rid us of the denominators:
:
7 + 1(x-2) = 3(x+1)
:
7 + x - 2 = 3x + 3; multiplied what's inside the brackets
:
5 - 3 = 3x - x
:
2 = 2x
:
x = 1
:
:
Substitute 1 for x in the original equation and confirm that equality reigns.