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If the sum of two numbers is 6 and the product of the two numbers is 8 then what is the sum of the reciprocals of the two numbers?

 Feb 27, 2021
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a + b = 6

ab = 8

 

1/a + 1/b =    1/a  *  ab / ab      +   1/b  * ab/ab

                   =  b/ab   +  a/ab

                   = (b+ a )/ ab =    6 / 8 = 3/4

 Feb 27, 2021

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