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# If a=/b and 1/x + 1/a = 1/b then x =?

If a=/b and 1/x + 1/a = 1/b then x =?

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- Alfredo KrausLv 79 years agoFavorite Answer
If a=1/b then 1/a = b and therefore

(1/x) + (1/a) = (1/x) + b = 1/b so 1/x = (1/b) - b = (1-b^2)/b and therefore x = b/(1-b^2)

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