Correct Answer: -2/a
Explanation:
Given, x + a/x = 1 ⇒ x2 + a = x .................(i) ⇒ x2 - x = -a ................(ii) Now, ( x2 + x + a ) / ( x3 - x2) ( x2 + a + x ) / ( x3 - x2) = ( x + x )/ x(x2 - x) [from Eq. (i)] = 2x/x(-a) [from Eq. (ii) ] = 2/-a = -2/a