SOLUTION: I Need Your Help with This problem (X-2)^(2/3)+(x-2)^(1/3)-20=0

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Question 840799: I Need Your Help with This problem (X-2)^(2/3)+(x-2)^(1/3)-20=0
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use a substitution,
u=%28x-2%29%5E%281%2F3%29
then
u%5E2=%28x-2%29%5E%282%2F3%29
.
.
.
u%5E2%2Bu-20=0
%28u%2B5%29%28u-4%29=0
Two possible solutions:
u%2B5=0
u=-5
%28x-2%29%5E%281%2F3%29=-5
Not defined, not a solution.
.
.
u-4=0
u=4
%28x-2%29%5E%281%2F3%29=4
x-2=64
x=66