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djverab [1.8K]
3 years ago
13

2 numbers have a sum of 50 and a product of 25. Find the sum of the inverses of the 2 numbers.

Mathematics
1 answer:
Elodia [21]3 years ago
5 0

x+y=50\\ xy=25\\\\ \dfrac{1}{x}+\dfrac{1}{y}=\dfrac{x+y}{xy}\\ \dfrac{1}{x}+\dfrac{1}{y}=\dfrac{50}{25}\\ \dfrac{1}{x}+\dfrac{1}{y}=2

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