SOLUTION: Hi I need to solve and check the equations for x: x/x-2-x+1/x=8/x^2-2x {{{x/(x - 2)}}} - {{{(x + 1)/x}}} = {{{8/(x^2 - 2x)}}} Can someone please help me with this??

Question 85666: Hi I need to solve and check the equations for x:
x/x-2-x+1/x=8/x^2-2x
- =
Can someone please help me with this??
Answer by scianci(186) (Show Source): You can put this solution on YOUR website!
You need an LCD. Put the in factored form:
- =
Now it's easy to see that your LCD is x(x - 2). Multiply everything by x(x - 2):
(x)(x - 2)( - = )
Now the denominators cancel out and you have no more fractions:
(x)(x) - (x + 1)(x - 2) = 8
- = 8
x + 2 = 8
x = 6
Check for extraneous solutions:
x = 6 isn't = 0
x - 2 = 6 = 2 = 4 isn't = 0
x = 6 is a good solution
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