SOLUTION: Thank you in advance for help with this equation. x^2/3+x^1/3-2=0

Question 144549This question is from textbook
: Thank you in advance for help with this equation. x^2/3+x^1/3-2=0 This question is from textbook

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation

Let

Plug in

Factor the left side (note: if you need help with factoring, check out this solver)

Now set each factor equal to zero:
or

or Now solve for u in each case

Remember, we let

or Replace "u" with

or Cube both sides in each case

Notice that when you plug in you don't get the correct answer. So is an extraneous solution.

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Answer:

So the solution is
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