SOLUTION: Solve t^(2/3)+t^(1/3)-6=0

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Question 1127120: Solve t^(2/3)+t^(1/3)-6=0
Answer by MathLover1(20849) About Me  (Show Source):
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Solve
highlight%28t%5E%282%2F3%29%2Bt%5E%281%2F3%29-6=0%29+.....actor completely, use t%5E%281%2F3%29=3t%5E%281%2F3%29-2t%5E%281%2F3%29 and group terms

highlight%28+t%5E%282%2F3%29%2B3t%5E%281%2F3%29-2t%5E%281%2F3%29-6=0%29+

highlight%28%28t%5E%282%2F3%29-2t%5E%281%2F3%29%29%2B%283t%5E%281%2F3%29-6%29=0%29+

highlight%28t%5E%281%2F3%29%28t%5E%281%2F3%29-2%29%2B3%28t%5E%281%2F3%29-2%29=0+%29

highlight%28%28t%5E%281%2F3%29+-+2%29+%28t%5E%281%2F3%29+%2B+3%29+=+0%29-> take only positive solution

highlight%28t%5E%281%2F3%29+=+2%29

root%283%2Ct%29+=+2

t+=+8