SOLUTION: please solve this equation 10x^-2/3 -3x^-1/3 = 1

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Question 468536: please solve this equation 10x^-2/3 -3x^-1/3 = 1
Answer by asuar010(338) About Me  (Show Source):
You can put this solution on YOUR website!
the trick to solving this equation is to assign the value of +x%5E%28-1%2F3%29=a
Then substitute as +10a%5E2-3a=1+ then +10a%5E2-3a-1=0} that factors as
+%285a%2B1%29%2A%282a-1%29=0 then +a+=%28-1%2F5%29 ++a=1%2F2
Now substitute those values again to solve for x because
x%5E%28-1%2F3%29=%28-1%2F5%29 and +x%5E%28-1%2F3%29=%281%2F2%29 so by using the exponent rules x=-125 and x=8