SOLUTION: Solve and check each of the following equations for x. more complicated and im thinking too much. thank you for helping me.
x/x-2 - x+1/x = 8/x^2-2x
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Question 119347: Solve and check each of the following equations for x. more complicated and im thinking too much. thank you for helping me.
x/x-2 - x+1/x = 8/x^2-2x
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Solve and check each of the following equations for x. more complicated and im thinking too much. thank you for helping me.
:
The problem as I see it:
- =
Note that on the last denominator we can factor out x:
- =
:
Our common denominator will be x(x-2); Multiple equation by this
x(x-2)* - x(x-2)* = x(x-2)*
:
Cancel out the denominators and you have:
x(x) - (x-2)(x+1) = 8
:
x^2 - (x^2 - x - 2) = 8; FOILed (x-2)(x+1)
:
x^2 - x^2 + x + 2 = 8; removed the brackets, changed the signs
:
x = 8 - 2
:
x = 6
:
:
Check our solution in the original equation:
- =
Substitute 6 for x
- =
- =
Put all fraction over 24:
- = ; confirms our solution
:
:
Did you have any problem understanding what we did here? Let me know
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