additon: x/x+2 + 1/x-1 = 1

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Jun 7, 2007
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This is the last propblem that i have done but not sure if accurate

x/x+2 + 1/x-1 = 1

(x+2) (x-1) (x/x+2 + 1/x-1) = 1/1

x+1/1 = x

thank you
 
x/(x+2) + 1/(x-1) = 1

multiply every term by (x+2)(x-1) ...

x(x+2)(x-1)/(x+2) + (x+2)(x-1)/(x-1) = (x+2)(x-1)

x(x-1) + (x+2) = (x+2)(x-1)

x<sup>2</sup> - x + x + 2 = x<sup>2</sup> + x - 2

2 = x - 2

4 = x
 
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