With a being 3; b being - 4; and c being - 5, we get:

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Exact root 1: , and exact root 1's reciprocal: 



Exact root 2: , and exact root 2's reciprocal: 

Sum of exact roots' reciprocals: 

 -------- Multiplying by LCD,  

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Exact value of sum of exact roots' reciprocals:  

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