Pre-Calc

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How would I solve:

X^(4/3)+X^(2/3)=28

  • Pre-Calc -

    In google type:
    wolfram alpha

    When you see list of results click on:
    Wolfram Alpha:Computational Knowledge Engine

    When page be open in rectangle type:
    solve x^(4/3)+x^(2/3)=28
    and click option =

    After few seconds you will see solution.

    Then click option:
    Show steps

  • Pre-Calc -

    let x^(2/3) = y
    then we have
    y^2 + y - 28 = 0
    y = (-1 ± √113)/2

    so x^(2/3) = (1+√113)/2
    x = [(1 + √113)/2]^(3/2) = appr. 10.566

    or x^(2/3) = (-1 - √113)/2 , which has no solution

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