SOLUTION: How do I solve 2x to the 2/3rds, plus 3x to the 1/3rd minus 2 = Zero?

Algebra ->  Radicals -> SOLUTION: How do I solve 2x to the 2/3rds, plus 3x to the 1/3rd minus 2 = Zero?      Log On


   

Question 354714: How do I solve 2x to the 2/3rds, plus 3x to the 1/3rd minus 2 = Zero?
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
x^(2/3) is the square of x^(1/3)

let n=x^(1/3)

2n^2 + 3n - 2 = 0

factoring ___ (2n - 1)(n + 2) = 0

n = 1/2 ___ x^(1/3) = 1/2 ___ x = 1/8

n = -2 ___ x^(1/3) = -2 ___ x = -8