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The sum of a number and its reciprocal is 37/6. What are the numbers?​

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DEANGD20GO

Answer:

6 and 1/6

Step-by-step explanation:

Let the number be x.

Given that: x + 1/x = 37/6

Then, x²/x + 1/x = 37/6

(x² + 1)/x = 37/6

So, x² + 1 = 37 and x = 6. Thus, the number is 6 and the reciprocal is 1/6.

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~~DeanGD20

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