SOLUTION: solve the equation: (x - 10)2/5 = (9x)1/5

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Question 838219: solve the equation: (x - 10)2/5 = (9x)1/5
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
I'm assuming 2%2F5 and 1%2F5 are exponents??
%28x-10%29%5E%282%2F5%29=%289x%29%5E%281%2F5%29
%28x-10%29%5E2=9x
x%5E2-20x%2B100=9x
x%5E2-29x%2B100=0
%28x-25%29%28x-4%29=0
Two solutions:
x-25=0
x=25
and
x-4=0
x=4
Now you need to go back to the original equation and make sure that both solutions are actual solutions to the original equation. I can't overstate the requirement to do this in these types of problems.