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Apurba
Apurba asked in Science & MathematicsMathematics · 3 weeks ago

The sum of a positive number and its reciprocal is twice the difference of the number and its reciprocal. The number is?

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  • Ian H
    Lv 7
    3 weeks ago
    Favorite Answer

    n + 1/n = 2*(n – 1/n)

    n^2 + 1 = 2n^2 - 2

    n^2 = 3

    n = √(3)

  • Engr. Ronald
    Lv 7
    3 weeks ago

    n + 1/n = 2(n - 1/n)

    [n + 1/n = 2n - 2/n]n

    n^2 + 1 = 2n^2 - 2

    2n^2 - n^2 - 2 - 1 = 0

    n^2 - 3 = 0

    n^2 = 3

    n = √(3) Answer//

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