if x cube – 1/x cube = 36 then the value of x-1/x is​

Question

if x cube – 1/x cube = 36 then the value of x-1/x is​

in progress 0
Amara 1 month 2021-08-13T15:45:52+00:00 1 Answer 0 views 0

Answers ( )

    0
    2021-08-13T15:47:00+00:00

    Answer:

    hope it helps

    Step-by-step explanation:

    Answer

    4.0/5

    7


    x2 + 1/x2 = 83


    x2 + 1/x2 – 2 = 83 – 2


    (x – 1/x)2 = 81


    (x – 1/x)2 = 92


    x – 1/x = +/- 9


    Now,


    (x – 1/x)3 = +/- 93


    x3 – 1/x3 – 3*x*1/x (x – 1/x) = +/- 729


    Now, substituting the value of x – 1/x, we get,


    x3 – 1/x3 – 3*9 = 729 and x3 – 1/x3 + 3*9 = -729


    x3 – 1/x3 – 27 = 729 and x3 – 1/x3 + 27 = -729


    x3 – 1/x3 = 756 and x3 – 1/x3 = -756

Leave an answer

Browse
Browse

18:9+8+9*3-7:3-1*13 = ? ( )