PAGE NO. DATE: The sum of a natural number and its recipeocal is lo Find the numbet 3​

Question

PAGE NO.
DATE:
The sum of a natural number and its recipeocal is lo
Find the numbet
3​

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Audrey 1 month 2021-08-17T09:15:50+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-08-17T09:17:25+00:00

    Answer:

    3

    Step-by-step explanation:

    Sol. Let natural number be ‘x’

    ∴  Its reciprocal is 1/x

    From the given condition,

    x + 1/x = 10/3

    Multiplying by 3x, we get

    3 x 2 + 3 = 10x

    ∴  3 x 2 – 10x + 3 = 0

    ∴ 3 x 2 – 9x – x + 3 = 0

    ∴ 3x (x – 3) – 1 (x – 3) = 0

    ∴ (3x – 1) (x – 3) = 0

    ∴ 3x – 1 = 0 or x – 3 = 0

    ∴ 3x = 1 or x = 3

    ∴ x = 1/3  or   x = 3

    Natural number cannot be a 1/3

    ∴ x = 3

    ∴ The required natural number is 3.

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    0
    2021-08-17T09:17:26+00:00

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