SOLUTION: Given (1/x) = (1/a) + (1/b), 1. Solve to show x = ab/(a + b), provided that a + b does no equal 0. 2. Check the solution.

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Question 1207838: Given (1/x) = (1/a) + (1/b),
1. Solve to show x = ab/(a + b), provided that a + b does no equal 0.
2. Check the solution.

Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
Not much outside of just the algebra steps solving for one variable in an equation.



on right side, simplest common denominator .





and just recognize, the reciprocal of each side is what you are looking for.



----------result.

Obviously if then, not allowed for a equal to negative b.

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