What are the steps to solve this problem?
x^(2/3) - x^(1/3) - 6 = 0
This is actually a quadratic equation in .
Recalling the laws of indices we can say that
To illustrate the point let - thus we have
Solve the quadratic using your favourite method (this one does factorise) to get two values of u.
Once you have the values of u you put and where root_1 and root_2 are your values of u. It should then be straightforward to find x