SOLUTION: If a does not equal to b, and {{{((a(1-b))/(b(1-a)))^(2)=1}}}, what is the value of {{{((a+b))/((ab))}}}?

Algebra ->  Expressions -> SOLUTION: If a does not equal to b, and {{{((a(1-b))/(b(1-a)))^(2)=1}}}, what is the value of {{{((a+b))/((ab))}}}?      Log On


   

Question 1195133: If a does not equal to b, and %28%28a%281-b%29%29%2F%28b%281-a%29%29%29%5E%282%29=1, what is the value of %28%28a%2Bb%29%29%2F%28%28ab%29%29?
Answer by Shin123(626) About Me  (Show Source):
You can put this solution on YOUR website!
Taking the square root of both sides, we get
. Expanding the left hand side, we get
If the right hand side is 1, we get , but the problem says a does not equal b, so this is not the solution.




Therefore, the answer is highlight%28highlight_red%28highlight%282%29%29%29