The difference between a positive proper fraction and its reciprocal is 9/20. The fraction is:	Choose the correct option:
A) 4/5
B) 5/4
C) 3/5
D) 2/5
E) 3/4
Let the required fraction be x. Then 1/X - X = 9/20   (1-X^2)/X = 9/20 ==&gt; 20 - 20X^2 = 9X   20X^2 + 9X - 20 = 0   20X^2 + 25X - 16X - 20 = 0   5X(4X + 5) - 4(4X + 5) = 0   (4X + 5)(5X - 4) = 0   X = 4/5 (neglecting -ve value)   4/5nswer 4/5)4/5
<result>A</result>
The difference between a positive proper fraction and its reciprocal is 9/20. The fraction is: