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12 September, 16:37

The sum of a number and its reciprocal is 13/6. find the number

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  1. 12 September, 16:42
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    Suppose the number is x, its reciprocal is 1/x

    x+1/x=13/6

    (x^2+1) / x=13/6

    6 (x^2+1) = 13x

    6x^2-13x+6=0

    (3x-2) (2x-3) = 0

    x=2/3 or x=3/2
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