You can put this solution on YOUR website! x/x-2 – x+1/x = 8/x^2 – 2x
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Assume you mean; (a few brackets would help a lot): – =
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Factor out x: – =
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The common denominator is x(x-2), multiply the equation by x(x-2)
After canceling out the denominators you will have:
x(x) - (x-2)(x+1) = 8
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x^2 - (x^2-x-2)= 8: FOILed (x-2)(x+1)
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x^2 - x^2 + x + 2 = 8: removing the brackets, changes the signs
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x = 8 - 2: x^2's eliminated, subtract 2 from both sides
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x = 6
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Check solution in original equation: – =
: – =
: – =
: – = ; confirms our solution of x = 6
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