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24 February, 05:11

The sum of a number and 3 times its reciprocal is - 4. Find the number

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  1. 24 February, 07:53
    0
    x = - 1 or x = - 3

    Step-by-step explanation:

    x + 3/x = - 4

    x² + 3 = - 4x

    x² + 4x + 3 = 0

    (x + 1) (x + 3) = 0

    x = - 1 or x = - 3

    check: (-1) + (3/-1) = - 1 - 3 = - 4

    (-3) + (3 / (-3)) = - 3 - 1 = 14
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