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14 February, 13:50

Find the num

The sum of a number and its reciprocal 10/3. find the number 5

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  1. 14 February, 14:20
    0
    x=3 or x = 1/3

    Step-by-step explanation:

    Let the number = x

    The reciprocal of the number = 1/x

    According to the given statement:

    x+1/x=10/3

    x²+1/x=10/3

    3 (x²+1) = 10x

    3x²+3=10x

    Move 10x to the L. H. S

    3x²-10x+3=0

    Break the middle term:

    3x²-9x-x+3=0

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

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

    x-3=0, 3x-1=0

    x=0+3, 3x=0+1

    x=3, 3x=1

    x=3, x = 1/3

    So x=3 or x = 1/3 ...
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