Question

How would I solve:

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

Answer 1

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

Answer 2

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