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in Quadratic Equations by (46.1k points)
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The roots of the equation \(\frac{x}{x-1}+\frac{x-1}{x} = 2\frac12\) are :

(a) 1, 2 

(b) 2, 1 

(c) –2, 1 

(d) 2, –1

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(d) 2, -1

\(\frac{x}{x-1}+\frac{x-1}{x} = \frac52\) ⇒ \(\frac{x^2+(x+1)^2}{x(x+1)}=\frac52\)

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