Thesum of a number and its reciprocal is 10/3
find the number.
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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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