SOLUTION: x^1/3=x-6

Algebra ->  Radicals -> SOLUTION: x^1/3=x-6      Log On


   

Question 573074: x^1/3=x-6
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
x^1/3=x-6
------------
Raise to the 3rd power
x+=+%28x-6%29%5E3+=+x%5E3+-+18x%5E2+%2B+108x+-+216
x%5E3+-+18x%5E2+%2B+107x+-+216+=+0
--------------
You can find x = 8 by graphing, or by "eye-balling" it.
There are 2 other solutions that are complex numbers.
Divide by (x-8) then solve the quadratic to find those, if needed.