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I need to solve this and am not sure how to approach?Do I first find for the sum of the first 2 terms? (x-2)/(x) + (1/2)= (x+1)/(x-2)

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I would multiply each term by 2x(x-2) the LCD to get

2(x-2)(x-2) + x(x-2) = 2x(x+1)
2x^2 - 8x + 8 + x^2 - 2x = 2x^2 + 2x
x^2 - 12x +8 = 0
x = (12 ± √112)2
= (12 ± 4√7)/2
= 6 ± 2√7

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