1. Fractional indicies question

I have become stuck on the following equation which i have to solve as part of my homework:

$2x^(1/3)+x^(2/3)=3$

According to the answer book the two solutions are 1 and -27, so it must turn out to be quadratic. However, i can't figure out how to get there.

Any help would be greatly appreciated

2. Hi StaryNight,

Use the substitution y= x^(1/3) and subsitute it in ur equation, hope it helps

3. Cheers, that worked out fine. Wish i'd have thought of that in the first place.