1.

The difference between a positive proper fraction and its reciprocal is 9/20. The fraction is:

Answer»

4/5



1/x - x = 9/20 

20X2 + 9X - 20 = 0 

20x2 + 25X - 16x - 20 = 0 

5x(4x + 5) -4(4x + 5) = 0

(4x + 5)(5x - 4) = 0

x = 4/5



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