x^2 + 1 by x^2 = 83 . find the value of x^3 – 1 by x^3

Question

x^2 + 1 by x^2 = 83 . find the value of x^3 – 1 by x^3

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3 days 2021-10-11T05:01:57+00:00 1 Answer 0 views 0

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    2021-10-11T05:03:56+00:00

    Answer:

    Step-by-step explanation:

    GIVEN: x^{2}+\frac{1}{x^{2} } 83

    By using (a+b)^2= a^2+ b^2+2ab,

    (x+1/x)^2= 83+2

    x+1/x=\sqrt{85}

    now,

    (x+1/x)^3= a^3+b^3+3(ab)(a+b)

    85\sqrt{85}= ^3+1/x^3 +3x+3/x

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