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24 April, 19:24

If x=1+√2, evaluate x³+1/x³.

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  1. 24 April, 19:32
    0
    18

    Step-by-step explanation:

    So we start solving like:

    x+1x=3

    (x+1x) 3=33

    x3+3. x2.1x+3. x. 1x2+1x3=27

    (x3+1x3) + 3. x2.1x+3. x. 1x2=27

    x3+1x3 + (3x+3x) = 27

    x3+1x3+3 (x+1x) = 27

    x3+1x3+3*3=27

    x3+1x3+9=27

    x3+1x3=18

    Therefore the answer is 18
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