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if x=2^1/3 + 2^2/3 show that x^3-6x =6

  • maths -

    just plug and chug:

    x = ∛2+∛4

    x^3 = (∛2+∛4)^3
    = 2 + 3∛16 + 3∛32 + 4
    = 2 + 6∛2 + 6∛4 + 4
    = 6 + 6∛2 + 6∛4

    now subtract 6x to get 6

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