SOLUTION: Could you please help me with how to work out this question: By letting {{{ y = x^(1/3) }}} or otherwise, find the values of x for which {{{ x^(1/3) - 2x^(-1/3) = 1 }}} . I h

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Question 647659: Could you please help me with how to work out this question:
By letting or otherwise, find the values of x for which .
I have the answers (-1 and 8) in the back of my textbook but I am unsure of how to deal with negative fractional indices in this case, and I have to show my working out in my answer so please could you show me how to work this out!
Thank you.

Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!
ok let assume

.....1
then
.....1
__________________________________

.....1 ...solve for ..
note, because means we will have
.......then replace with
then you get

.........simplify


...from this we can get

we can get value of from then
and from then
continue to put the value of to

assume
-> ->
assume
-> ->


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