SOLUTION: Solve and check for x
(x/x-2)-(x+1/x)=(8/x^2-2x)
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Question 96159: Solve and check for x
(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 for x
(x/x-2)-(x+1/x)=(8/x^2-2x)
:
- =
:
Factor (x^2 - 2x):
- =
:
Multiplying equation by x(x-2) gets rid of the denominators and we 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: removing the brackets changes the signs
:
x + 2 = 8; x^2's eliminated
:
x = 8 - 2
x = 6
:
:
Check solution by substituting 6 for x in the original equation:
:
- =
:
- = = - = Confirms our solution
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