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8 June, 04:54

The sum of a number and its reciprocal is 2.9. Find all possible values of the number.

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  1. 8 June, 05:09
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    X + 1/x = 2.9

    x^2 + 1 = 2.9x

    x^2 - 2.9x + 1 = 0

    (x - 0.4) (x - 2.5) = 0

    x - 0.4 = 0 so x = 0.4

    x - 2.5 = 0 so x = 2.5

    answer: x = 0.4 and x = 2.5
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