Question

The sum of a natural number and it's reciprocal is 10/3
Find the number​

Answer 1

Answer:

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The sum of a number and its reciprocal is 103, find the number(s). Hence, the number (s) are 3 and (1)/(3).

Answer 2

Step-by-step explanation:

Let x = the number

Then, x + 1/x = 10/3

Multiply through by the LCD, 3x, to get 3x2 + 3 = 10x

3x2 - 10x + 3 = 0

(3x - 1)(x - 3) = 0

So, x = 1/3 or x = 3

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