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The sum of the roots of the equation 1/(...

The sum of the roots of the equation `1/(x+a) + 1/(x+b) = 1/c` is zero. What is the product of the roots of the equation ?

A

`-(a+b)/2`

B

`(a+b)/2`

C

`-(a^(2) + b^(2))/2`

D

`(a^(2) + b^(2))/2`

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