SOLUTION: I really need help with this equation with rational exponents. This problem is not from a text book, it is from a worksheet. (x-5)raised to the two-third power +3(x-5)raised to t

Question 179673: I really need help with this equation with rational exponents. This problem is not from a text book, it is from a worksheet.
(x-5)raised to the two-third power +3(x-5)raised to the one-third power-4=0 ( I couldn't figure out how to write this problem using the formula plotting system.)
I have no idea how to work this problem. Please help!!!
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
You can temporarily chang variables to facilitate solving problems like this:
You can rearrange this as:

Let's substitute to give us:
Factor this:
from which:
or Replacing the variable: we get:
or so...
If Raise each side to the third power.
but so...
Add 5 to both sides.
and...
Cube both sides.

Add 5 to both sides.

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