If a # b and1/x+1/a=1/b,then x

Question

*# tht sign is supposed to be two vertical lines crossed by one horizontal slanting line

Answer 1

Assume that a ≠ b and 1/x + 1/a = 1/b.  Then:

 

1/x = 1/b - 1/a

 

1/x = a/(ab) - b/(ab)

 

1/x = (a-b)/(ab)

 

   x = (ab)/(a-b)